Premiering in 1965, what may be the strangest sitcom of all time is a reminder that borderline brain-dead TV executives have been with us for decades — and deserve no say in the big-budget boardroom. Jerry Van Dyke played a man who discovers that his mother's soul has been reincarnated in his automobile, enabling him to hear her voice through the radio http://www.esquire.com/the-side/feature/worst-tv-shows-100109
Hot Rod Deluxe, May 2010 issue page 69 says Norm made it, and it was owned by Kaye Trapp, Hollywood studio photographer who used it as a push car for the Zueschel, Fuller, and Moody dragster
But according to http://local.aaca.org/junior/starcars/mother.htm Barris built the car; The car's body (finished in Metalflake carnation red with a white top) was made up from various vehicles including a Model T Ford, a Maxwell (precursor to the Chrysler), a Hudson, and pieces of a Chevrolet, including drive train. The car had a custom-made hood and radiator shell.
2 were made, one is at http://starcarstn.com/index.html in Tennessee along with a lot of other cool cars like the Munsters Dragula, and a collection of Barris customs
The video is badly editted news shorts from a local tv station perhaps... it seems like it once had commercials, only the first half is really worth watching
Nov 2011 update, Carlustblog.com states that The no.1 car, or "hero" car was built by Craig Breedlove. The no.2 car or "stunt" car was built by George Barris. The cars was 1923-25 model t touring cars which is a different body style than the 1927.
http://www.carlustblog.com/2010/04/1928-porter-touring-car.html has a comment that states that Craig Breedlove built on of the two cars for the show, and that Barris built the other
here is Norm at the LA Roadster Show, 1960
Headlights look the same, different grill and hood of course. Bumper is so similar I'll say it's the same one
Steering wheel appears the same, and so do the seats