Thats great. Too bad about the harness not working for you.
It works wonders on my friends dog.
Another idea, not about the pulling, but how she managed to sneak up on your next door neighbors cat is perhaps you can put a bell on his collar. I know they're really meant for cats but I have a puppy and two cats aswell. BJ put him in his place but with our other cat, Moki, Kobee can't get any where near him because as soon as Moki hears the bell he's off.