Edits to website not showing up online

Important question:  Is this an Internet (world wide website) or Intranet (closed network for employees only)?

If the former, you must use an FTP client like FileZilla or Dreamweaver to upload files to the public facing web server for that domain (https://example.com).  

If the latter, work with your organization's IT dept. They control the network.

Hope that helps.

With DW, you work locally, then upload to a remote server to make changes to your public-facing website.

It sounds like you're making changes to the local files (on your file server) but aren't uploading them to your actual web domain...

If DW is set up correctly, you should be able to click the Put button (up arrow icon in the Files window of DW) to upload to your site.

This problem might not be isolated to Dreamweaver. If changes are made and don't show up immediately it could be a caching issue.

When you say they are stored in a shared service, are you meaning like a web server, or are you saying a service like Dropbox? If the latter, how are you publishing them to the web? Are you using FTP? Is there another service involved?