N.L.
I don't think that 1 is too young to get rid of the paci. You've done a good thing in already keeping it just for nap and sleep times. That's how we started out with my son was reducing it down to that. Then after several weeks of only having it at that time then I took the scissors and snipped abt 1/2 inch off the end of the nipple. That takes away the suction and they can no longer suck on it. When I put him in his crib and he asked for it I gave it to him. He put it in his mouth and immediately knew something was different. He took it out and looked at it. I told him it was broke. He put it back in and tried again and again I told him it was broke. There was about 3 times of this and I told him it was broke and we didn't have another one. He laid down and whined for a few minutes and just held it. I left the room with him holding it and he went to sleep. At sleep time, the same thing. I just kept telling him it was broke. He finally threw it in the floor and said "boke" and laid down. It was about 3 days of it being "boke" before it was over. Even if she wants to hold it after it being broke that is fine because she can't suck on it. This really was the easiest method to use. Good luck with this.