People in the UK will probably have heard Donovan's version, from his Album "What's Bin Did and What's Bin Hid"
The lyrics are from memory, but I have sung this a lot when I was teaching young children- so I may have folk-processed it a little over the years.

I'll take you riding in my Car, car
I'll take you riding in my Car, car
I'll take you riding in my Car, car
Riding in my Car

Engine goes Brum Brum
Engine goes Brum Brum
Engine goes Brum Brum
Riding in my Car

Horn Goes beep beep
Horn Goes beep beep
Horn Goes beep beep
Riding in my Car

I wanna sit in the front seat
I wanna sit in the back seat
Front seat ,back seat
Riding in my Car

Boys and girls gonna sing a little song
Boys and girls gonna sing a little song
Boys and girls gonna sing a little song
Riding in my Car

Cheers
Dave