My own website IP address is showing in External links: Top linking websites (Google Console)

The situation you're describing is unusual and not a typical behavior for a properly configured website on AWS Lightsail. However, there are a few potential explanations and steps you can take to investigate and resolve this issue:

1. DNS Propagation: If you recently moved your website to AWS Lightsail (on December 6, 2024, as you mentioned), it's possible that DNS changes are still propagating. DNS propagation can take up to 48 hours, during which time some systems might still be pointing to old IP addresses or configurations.

2. Static IP Configuration: When you moved your website to Lightsail, you should have attached a static IP to your instance to ensure a consistent IP address. If you didn't do this, or if it wasn't configured correctly, it could lead to unexpected behavior.

3. Web Server Configuration: The issue might be related to how your web server is configured on your Lightsail instance. If it's not properly set up to handle requests for your domain name, it might be serving content in unexpected ways.

4. Internal Linking Structure: The appearance of your own IP address and page text in the "External links" section of Google Console could indicate that your website's internal linking structure is using IP addresses instead of domain names. This can happen if your site's configuration wasn't updated after the move to Lightsail.

To address these issues:

1. Verify that your domain's DNS records (particularly the A record) are correctly pointing to your Lightsail static IP.

2. Check that you've properly attached a static IP to your Lightsail instance.

3. Review your web server configuration to ensure it's correctly set up for your domain.

4. Audit your website's internal linking structure to make sure all links use your domain name rather than IP addresses.

5. If the issue persists after these checks, you may want to use Google's URL Inspection tool to see how Google is crawling and indexing your site, which could provide more insights into the problem.

If you continue to experience issues after these steps, it would be advisable to contact AWS support for further assistance, as they can provide more specific guidance based on your Lightsail configuration.
Sources
My Lightsail static IP is also assigned to another website which I don't own | AWS re:Post
View and manage IP addresses for Lightsail resources - Amazon Lightsail
Learn how internet traffic is routed to your website in Lightsail - Amazon Lightsail