This was an educational made-for-TV movie. It was actually the SECOND appearance of Timer. He was in another made-for-TV movie called "I Am Joe's Heart" made about a year earlier and it does not appear on Lennie Weinrib's (Timer's) filmography. http://www.imdb.com/name/nm0918396/ It was a similar show, but Joe was about to have a heart attack because he wasn't taking care of himself and Timer was running around panicking.
By contrast, Little Red was in very good shape. She exercised regularly and ate healthy foods. I remember this movie being called "Journey Through Little Red's Head". They may have had an alternate title.
The real star of the show was Timer of course. His job was to keep everything working properly in Little Red's body. At one point she was attacked and she fought back. Adrenaline kicked in, her physical conditioning became of immediate use, and Timer was running everything from within.
I'd like to see this cartoon again. Why can't they just play it on a Sunday afternoon or something?