OP here - thanks everyone! I have testers of all these suggestions, so hopefully one of them will work!

Pp here I think it's even lighter than the one above.

There is one called blush that is so subtle. Can't remember the maker.

Another vote for BM elephant pink. We painted our dd's bedroom this color and we are happy with it.

Sorry, elephant pink.

BM Elephant Ear.

I like BM Gentle Blush:
http://www.benjaminmoore.com/en-us/paint-color/gentleblush

BM Proposal

Sherwin williams White Dogwood. I used it on my daughter's ceiling and love it. Here's what it looks like on walls:

http://projectnursery.com/projects/baby-girls-nursery-3/#

BM Gentle Repose

My four year old wants a pink bedroom. We tried Sherwin William's Anenome, but I'm not happy with it and think I want something paler and warmer. Any suggestions?

This is her bedding:

http://www.potterybarnkids.com/products/7325061/?catalogId=10&sku=7325061&bnrid=3518538&cm_ven=Google_PLA&cm_cat=Bedding&cm_pla=Girl_Quilts_&_Comforters&cm_ite=Green_Daisy_Garden_Quilt%2C_Twin&kpid=7325061&srccode=cii_17588969&cpncode=26-409463295-2

Her bedroom has medium/dark brown wood floors.

Help! Thanks!