diff --git a/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.cpp b/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.cpp
index 0701593cc61..4b118c33b21 100644
--- a/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.cpp
+++ b/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.cpp
@@ -42,8 +42,9 @@ JS::NonnullGCPtr<ClassicScript> ClassicScript::create(DeprecatedString filename,
     // 8. Set script's muted errors to muted errors.
     script->m_muted_errors = muted_errors;
 
-    // FIXME: 9. Set script's parse error and error to rethrow to null.
-    // NOTE: Error to rethrow was set to null in the construction of ClassicScript. We do not have parse error as it would currently go unused.
+    // 9. Set script's parse error and error to rethrow to null.
+    script->set_parse_error(JS::js_null());
+    script->set_error_to_rethrow(JS::js_null());
 
     // 10. Let result be ParseScript(source, settings's Realm, script).
     auto parse_timer = Core::ElapsedTimer::start_new();
@@ -55,9 +56,9 @@ JS::NonnullGCPtr<ClassicScript> ClassicScript::create(DeprecatedString filename,
         auto& parse_error = result.error().first();
         dbgln_if(HTML_SCRIPT_DEBUG, "ClassicScript: Failed to parse: {}", parse_error.to_deprecated_string());
 
-        // FIXME: 1. Set script's parse error and its error to rethrow to result[0].
-        //           We do not have parse error as it would currently go unused.
-        script->m_error_to_rethrow = parse_error;
+        // 1. Set script's parse error and its error to rethrow to result[0].
+        script->set_parse_error(JS::SyntaxError::create(environment_settings_object.realm(), parse_error.to_string().release_value_but_fixme_should_propagate_errors()));
+        script->set_error_to_rethrow(script->parse_error());
 
         // 2. Return script.
         return script;
@@ -73,8 +74,6 @@ JS::NonnullGCPtr<ClassicScript> ClassicScript::create(DeprecatedString filename,
 // https://html.spec.whatwg.org/multipage/webappapis.html#run-a-classic-script
 JS::Completion ClassicScript::run(RethrowErrors rethrow_errors, JS::GCPtr<JS::Environment> lexical_environment_override)
 {
-    auto& vm = settings_object().realm().vm();
-
     // 1. Let settings be the settings object of script.
     auto& settings = settings_object();
 
@@ -89,8 +88,8 @@ JS::Completion ClassicScript::run(RethrowErrors rethrow_errors, JS::GCPtr<JS::En
     JS::Completion evaluation_status;
 
     // 5. If script's error to rethrow is not null, then set evaluationStatus to Completion { [[Type]]: throw, [[Value]]: script's error to rethrow, [[Target]]: empty }.
-    if (m_error_to_rethrow.has_value()) {
-        evaluation_status = vm.throw_completion<JS::SyntaxError>(TRY_OR_THROW_OOM(vm, m_error_to_rethrow.value().to_string()));
+    if (!error_to_rethrow().is_null()) {
+        evaluation_status = JS::Completion { JS::Completion::Type::Throw, error_to_rethrow(), {} };
     } else {
         auto timer = Core::ElapsedTimer::start_new();
 
diff --git a/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.h b/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.h
index 3d602f1d668..d45800db021 100644
--- a/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.h
+++ b/Userland/Libraries/LibWeb/HTML/Scripting/ClassicScript.h
@@ -43,7 +43,6 @@ private:
 
     JS::GCPtr<JS::Script> m_script_record;
     MutedErrors m_muted_errors { MutedErrors::No };
-    Optional<JS::ParserError> m_error_to_rethrow;
 };
 
 }
diff --git a/Userland/Libraries/LibWeb/HTML/Scripting/Fetching.cpp b/Userland/Libraries/LibWeb/HTML/Scripting/Fetching.cpp
index d0c5fc068af..d12a6388e3b 100644
--- a/Userland/Libraries/LibWeb/HTML/Scripting/Fetching.cpp
+++ b/Userland/Libraries/LibWeb/HTML/Scripting/Fetching.cpp
@@ -619,9 +619,10 @@ void fetch_descendants_of_and_link_a_module_script(JavaScriptModuleScript& modul
             // 2. Perform record.Link().
             auto linking_result = const_cast<JS::SourceTextModule&>(record).link(result->vm());
 
-            // TODO: If this throws an exception, set result's error to rethrow to that exception.
-            if (linking_result.is_error())
-                TODO();
+            // If this throws an exception, set result's error to rethrow to that exception.
+            if (linking_result.is_throw_completion()) {
+                result->set_error_to_rethrow(linking_result.release_error().value().value());
+            }
         } else {
             // FIXME: 4. Otherwise, set result's error to rethrow to parse error.
             TODO();
diff --git a/Userland/Libraries/LibWeb/HTML/Scripting/ModuleScript.cpp b/Userland/Libraries/LibWeb/HTML/Scripting/ModuleScript.cpp
index 7a975a36194..b919ebc19e1 100644
--- a/Userland/Libraries/LibWeb/HTML/Scripting/ModuleScript.cpp
+++ b/Userland/Libraries/LibWeb/HTML/Scripting/ModuleScript.cpp
@@ -49,7 +49,8 @@ WebIDL::ExceptionOr<JS::GCPtr<JavaScriptModuleScript>> JavaScriptModuleScript::c
     // FIXME: 5. Set script's fetch options to options.
 
     // 6. Set script's parse error and error to rethrow to null.
-    // NOTE: Parse error and error to rethrow were set to null in the construction of Script.
+    script->set_parse_error(JS::js_null());
+    script->set_error_to_rethrow(JS::js_null());
 
     // 7. Let result be ParseModule(source, settings's Realm, script).
     auto result = JS::SourceTextModule::parse(source, settings_object.realm(), filename.view(), script);
@@ -59,7 +60,8 @@ WebIDL::ExceptionOr<JS::GCPtr<JavaScriptModuleScript>> JavaScriptModuleScript::c
         auto& parse_error = result.error().first();
         dbgln("JavaScriptModuleScript: Failed to parse: {}", parse_error.to_deprecated_string());
 
-        // FIXME: 1. Set script's parse error to result[0].
+        // 1. Set script's parse error to result[0].
+        script->set_parse_error(JS::SyntaxError::create(settings_object.realm(), parse_error.to_string().release_value_but_fixme_should_propagate_errors()));
 
         // 2. Return script.
         return script;
@@ -123,12 +125,16 @@ JS::Promise* JavaScriptModuleScript::run(PreventErrorReporting)
     // 4. Let evaluationPromise be null.
     JS::Promise* evaluation_promise = nullptr;
 
-    // FIXME: 5. If script's error to rethrow is not null, then set evaluationPromise to a promise rejected with script's error to rethrow.
-
+    // 5. If script's error to rethrow is not null, then set evaluationPromise to a promise rejected with script's error to rethrow.
+    if (!error_to_rethrow().is_null()) {
+        evaluation_promise = JS::Promise::create(settings.realm());
+        evaluation_promise->reject(error_to_rethrow());
+    }
     // 6. Otherwise:
-    if (m_record) {
+    else {
         // 1. Let record be script's record.
         auto record = m_record;
+        VERIFY(record);
 
         auto interpreter = JS::Interpreter::create_with_existing_realm(settings.realm());
         JS::VM::InterpreterExecutionScope scope(*interpreter);
@@ -147,8 +153,6 @@ JS::Promise* JavaScriptModuleScript::run(PreventErrorReporting)
         } else {
             evaluation_promise = elevation_promise_or_error.value();
         }
-    } else {
-        TODO();
     }
 
     // FIXME: 7. If preventErrorReporting is false, then upon rejection of evaluationPromise with reason, report the exception given by reason for script.
diff --git a/Userland/Libraries/LibWeb/HTML/Scripting/Script.cpp b/Userland/Libraries/LibWeb/HTML/Scripting/Script.cpp
index b8d71ff3500..6d76b713b47 100644
--- a/Userland/Libraries/LibWeb/HTML/Scripting/Script.cpp
+++ b/Userland/Libraries/LibWeb/HTML/Scripting/Script.cpp
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2021, Andreas Kling <kling@serenityos.org>
+ * Copyright (c) 2021-2023, Andreas Kling <kling@serenityos.org>
  *
  * SPDX-License-Identifier: BSD-2-Clause
  */
@@ -23,4 +23,12 @@ void Script::visit_host_defined_self(JS::Cell::Visitor& visitor)
     visitor.visit(this);
 }
 
+void Script::visit_edges(Visitor& visitor)
+{
+    Base::visit_edges(visitor);
+    visitor.visit(m_settings_object);
+    visitor.visit(m_parse_error);
+    visitor.visit(m_error_to_rethrow);
+}
+
 }
diff --git a/Userland/Libraries/LibWeb/HTML/Scripting/Script.h b/Userland/Libraries/LibWeb/HTML/Scripting/Script.h
index be0a8b22735..7ebec520dc6 100644
--- a/Userland/Libraries/LibWeb/HTML/Scripting/Script.h
+++ b/Userland/Libraries/LibWeb/HTML/Scripting/Script.h
@@ -1,5 +1,5 @@
 /*
- * Copyright (c) 2021, Andreas Kling <kling@serenityos.org>
+ * Copyright (c) 2021-2023, Andreas Kling <kling@serenityos.org>
  *
  * SPDX-License-Identifier: BSD-2-Clause
  */
@@ -27,15 +27,29 @@ public:
 
     EnvironmentSettingsObject& settings_object() { return m_settings_object; }
 
+    [[nodiscard]] JS::Value error_to_rethrow() const { return m_error_to_rethrow; }
+    void set_error_to_rethrow(JS::Value value) { m_error_to_rethrow = value; }
+
+    [[nodiscard]] JS::Value parse_error() const { return m_parse_error; }
+    void set_parse_error(JS::Value value) { m_parse_error = value; }
+
 protected:
     Script(AK::URL base_url, DeprecatedString filename, EnvironmentSettingsObject& environment_settings_object);
 
+    virtual void visit_edges(Visitor&) override;
+
 private:
     virtual void visit_host_defined_self(JS::Cell::Visitor&) override;
 
     AK::URL m_base_url;
     DeprecatedString m_filename;
     JS::NonnullGCPtr<EnvironmentSettingsObject> m_settings_object;
+
+    // https://html.spec.whatwg.org/multipage/webappapis.html#concept-script-parse-error
+    JS::Value m_parse_error;
+
+    // https://html.spec.whatwg.org/multipage/webappapis.html#concept-script-error-to-rethrow
+    JS::Value m_error_to_rethrow;
 };
 
 }