Limit Recent Comments in sidebar to those made on that page?

I am creating a site with about 50 pages for 50 different sub-groups of our community. Each page will allow comments and have a right hand side bar with a Recent Comments widget. I would like to have the Recent Comments widget on each page to display only recent comments that were made on that same page.

Would appreciate any advice.

I’m a newbie so don’t worry about being too detailed or explicit.