Hi Ann Marie, The first night I took away the pacifier's (binkies) from my girls I just about spent the whole night sitting on the floor in between their beds. The second night was better, I only sat there about an hour. The third night was about 30 minutes and by the fourth night we were back into our normal routine without "binkies". I'll be honest, I planed the event...took a couple of vacation days added to a weekend, planned lots of activities so that they would be tired, and counted on not getting much sleep. I also figured it would involved lots of crying and unhappy, tired little girls. (They were two and four...my oldest actually had to go through binky withdrawl twice, long story there!)
I changed nap time. We bought a big floor pillow and I would lay down on it with them with a blanket and we would fall asleep durring Mr. Rogers & Lambchop (so yeah it was a few years ago).
This is one of those times when it's really good to stay strong on the big things like sleeping in your own bed, brushing teeth, when it comes to bedtime...but be willing to try some new things when it comes to nap times. Watch that she doesn't start sucking her thumb...once she finds the same comfort with her thumb (that she had with the binky) you will have a harder time fighting that habit than you even want to think about.
I found that the best thing is for you to remain as calm and as matter-of-fact as you can. Don't let her stall don't buy into the "scary things under the bed" stuff. Make sure she has a stuffed animal that she loves that is sleepable (really soft and squisshy). Sometimes ya just gotta be firm. Good luck and best wishes!!