pee the dog

Letting the dog go outside to pee and/or drop a few stools.

{John}: Martha, can you pee the dog, please? I think that he has to go poddy.
...
{Martha}: John, I pee'd the dog but he didn't piss or shit.

pee-wee the dog

A dog who likes to hump everything especially your other dogs face. Also he likes to poop everywhere and growls like no other dog and he is especially small because he is a miniature doxin.

Mom: No Pee-wee the dog don't hump him!
Me: HAHAHAHAHHAHAHAHAHAHAHAHAH HIS PENIS IS STICKING OUT ALL THE WAY!