And so... I borrowed a trap from my dad, and baited it with some cat food. This cat comes back to her post here each day, so I knew it would be a good spot to catch her. She simply ignored my bait and never went near the trap. Smart kitty.
This is how I find her most days... perched under this tree just below my four cup feeder, waiting for someone to slip up. Or, that's what I thought until I actually witnessed her literally jumping up to the feeder and grabbing unsuspecting victims. She has perfected her technique and comes to my feeders daily. She is very skittish, has no collar on, and flinches if you try to get anywhere near her with your hand, so I know she is not socialized at all.
All I know is that I am not allowing her to feast on the "feeding station" I've provided for her by feeding my birds. And, I am tired of seeing piles of feathers on the ground around this feeder, so one way or another, she is going to leave my yard.
When she tires of the side bed feeders, she makes herself comfortable under my swing out by the feeder pole station. I know that she is a cat, just being a cat, and trying to survive out in the wild, but I will not allow her to find her meals here any longer. So, does anyone want a pretty white kitty?