Sounds like your replacement isn't a self starter and they failed by hiring her and continue to rely on you. Time to cut her/them off!
Myself, I started a brand new job with a new company in June. I was hired sight-unseen for my new customer. She was on travel and the person I was replacing was on a 2 week vacation. Hardly any pass down for me. I jumped right in and kicked ass and took names later. I am now a very valuable asset to both my customer and company. It really wasn't that hard, for me. Your replacement, not so much...
I am glad to hear that you are doing great and loving your new job! Change can be a challenge, but rewarding, at the same time!