I think you guys are on the right track. Here's the facts.

Edwina always seems to be looking "the other way" when the squirrels are around....

I have observed Edwina in the bushes and a squirrel on top of the fence chattering away at her....

We had two squirrels in the yard now there are three more!!!

These squrrels have no fear of me....as if someone has told them I'm harmless....and finally...

these are GRAY squirrels and Edwina is a GRAY cat!!!

As for where they are getting the turkey with which to bribe Edwina...my mother has a flock of wild turkeys in her yard...perhaps she should take a head count!