J is nearly 3 and we have had issues lately as well but he can sleep up to 3 hours so we have cut his back. I used to wake him up at 4 :O before we had issues now I start stirring him at 3-3:30 depending on how long he has been down for - but basically cutting it to 1 1/2 to 2 hours instead. I don't think cut it completely but maybe open doors and start making some louder noises to wake her up gently once she has had some rest. Iz turned 4 in May and still needs a nap a few days a week so I don't think cutting it completely works for all kids because they simply do need that rest during the day.

Good luck!!