Bump to see how it turns out. Keep us posted.
Well, I caught "it" only it wasn't the same cat...LOL! This one was a beautiful big black and white one. I didn't have the heart to do anything with it so I released it in the hopes that it learned a lesson and won't return to my place.
As for trying to put a collar with a note on it around the cat's neck, that didn't work out too well. Just getting the trap's door open while the cat is jumping and snarling and spitting was a chore and I wasn't going to risk my life trying to grab it.........
What I'll do for a while is not let my cat into the den where the doorwall window is and maybe these cats will stop coming around.
To address comments from several others here, my cat is a female and she is neutered, there's no way would she voluntarily go outside even if I forced her to, plus she would never survive.........