Snagglepuss finds a missing baby and goes to the address where the baby lives to collect the reward. But it is the lion-hating Major Minor's baby and the Major gets out his hunting rifle to reward Snagglepuss with a bullet. Snagglepuss has difficulty trying to avoid the Major because the baby knows all Snag's hiding places and leads the Major to them.

The series follows the mystery-solving adventures of the Teen Angels—Brenda, Dee Dee and Taffy—and their friend Captain Caveman (or Cavey for short), a prehistoric caveman and superhero whom the girls discovered and thawed from a block of ice. The concept and general plot for the show was seen as a parody of "Charlie's Angels".