In the interest of breaking up the chorus for a moment, it's short for 'Agnes Gooch'. Peggy Cass (actress) played Agnes Gooch in the 1958 film 'Auntie Mame'. Boring I know, but I have to wonder if Patrick Dennis, the author, didn't pick that name on purpose.
Gooch! Could you get the phone please? ... What? Why not?
by Hayseed February 28, 2006
The piece of skin connecting the scrotum and testes to the poop chute. The gooch is also attached to the bacon strip which is located directly on the undercarriage of the testes.
I think i need to get deodorant for my gooch, it always sweats profusley, I think the gooch glands are swollen.
by Penile Fitness December 04, 2002