Pool Ring Game?

An interesting question came up today:

"What is the formal name of the billiards game that is played with rings, either black and white or red and green, on a wooden table where chess, checkers, and backgammon can be played? Growing up we just called it Ring Pool, but I am having trouble finding this game set in stores or on the internet. Thanks."

I know of bumper pool tables that double as those tables. The pool balls may be bounced into the holes off the rings. Or did you mean something like these tables:

Multi-Tables

What can you readers tell us about this unusual pool hybrid table as asked about by an interested reader?

Tips for buying your next pool table!

Photo courtesy of Morguefile.com