Neighborhood Dog

Over the past several months we have had a smaller light colored dog in our neighborhood. It did have a collar on for awhile. I have fed it a few times and it has gotten closer to us each time it visits. It took a treat from my hand today but still won't let me pet her. Our dog Zoe would like to play but being on a chain can't quite get close enough to this neighborhood dog. Years ago my dad made a friend with a small dog that would come to his gas station. As I recall it took dad 13 weeks of putting food and water out for this dog to come up to him. I suppose I really shouldn't be feeding the dog as then it probably will never leave.