Dog Keeps Escaping and Going to Visit Neighbors?

About six years ago I adopted a wonderful Corgi mix. At the time she was about 3. Our first couple of years were lovely until a robbery occurred at my home. In the process she was badly injured and has suffered from serious anxiety since. I added another dog to the mix after a couple of suggestions that it would help ease her anxiety. Things improved with the second dog and a dog walker during the day.

I recently moved out of the city to a house with a large yard with a dog door. I was so excited for them to have some room to run. The first two months went smoothly until one day I came home and she was not there. It turns out some neighborhood kids saw her through a small hole in the fence and with some encouragement an escape ensued.

This just opened up a big can of worms and escapes were becoming a daily occurrence. I had to wait for my landlord to fix the fence. In the meantime a family down the street started feeding her. Taking them into their house while I was at work. There have been some comments made like it looks like your dog adopted us.

My concern is now I have a family that has made it pretty clear they want her although they have never actually said it. I do not fault the dog, she gets attention and food when I am not at work. I thought my problems were fixed when my landlord finally fixed the fence. But to no avail she busted through it.

I have tried talking to my neighbors saying not to feed her or let her in the house, but it is very hard because they are very nice well intentioned people. I do not think they understand that what they are doing is wrong, encouraging bad behavior and damaging to my relationship with my dog.
Any suggestions would be helpful with how to deal with the fence or the family would be greatly appreciated.

By Katherine M