My first thought is 2 hours of day sleep in a 11month old...she isn't sleeping as she is OVERTRIED... unless she starts her night sleep about 5.00pm, I think she isn't getting enough sleep.
Most babies under 12-15months are still on 2 naps/day & have an awake time of about 3.5 hours (maybe 4). I would try putting her down for about 3.5 hours after she wakes up & then another 3.5 hours after that.
Don't let her scream it out, you will create other problems there... have a look at the Pick up/Put down (PU/PD) boards as that is a much better way to deal with the wakings... but if she won't settle with out feeding then she may need it
How does she fall asleep for naps/night... if it is with a bottle then it is an association & you need to help her learn to fall asleep on her own (with PU/PD if needed) to break that association.
HTH