Yes, as the others said, try and consolidate her naps into 1 nap... at about 11:00-12:00.
Also try "white noise." We use a fan on "low" when my son naps.
Also, your daughter may just be high needs or sensory sensitive... my daughter was that way. If there was the tiniest noise, she would wake or would not sleep. I could not even flush the toilet when she slept. And she did not like being hot...it made her cranky. And she had bad gas. Also, she was a "needier" baby, versus my son. So I had to adjust. It's just the difference in personalities...
Also, make sure your daughter is getting enough intake throughout the day... if a baby/child is hungry they can't sleep.
She is fussy/cranky because she is over-tired... over-tired children actually CANNOT sleep very well, and will wake up more. Over-tired children can even become more "hyper" misleading the parent into thinking they are "not" tired, when when they actually are.
Very important is: Have a CONSISTENT pre-nap & pre-bed routine with your daughter. I think, with your girl...she NEEDS more structure and a set routine in order to settle down and calm down. With my kids, from the time they were babies and still now...I allow for 1/2 hour in order to just wind them down BEFORE their nap or bedtime. If my kids are "rushed" and plunked down quickly and swiftly, they will NOT feel settled down and this sabotages their ability to sleep and reach a calm mentality. Before putting them to nap or bed...we go to a specific room in the house and we call it the "Quiet Room"...then I turn off the lights, and we lay down on pillows in the room, we read or they can watch a "mellow" show that they like (we like "Little Bear")...then they can have some milk... and then change into pajamas, and then bed or nap time.
I guess your girl also, does not seem to self-soothe. So this is hard. Have you tried giving her a lovey? Something to cuddle... a pacifier ?(although I know this is controversial), a night light? A crib toy?...ie: my son LOVES his Fisher Price Ocean Wonders crib/musical toy & he turns it on at will to hear the music before he falls asleep. Or there is the "Cloud B Twilight Turtle Constellation Night Light" which you can find on www.amazon.com It has great reviews and it a really great item.
Maybe too, she is not ready to wean. By the time they are this age, they CAN INDEED learn not to bite Mommy... you just need to tell her and teach her.
Ya know, by this age, there is also something called "night terrors." Maybe she is waking because she is having bouts of this? Its normal and purely developmental... just look it up online.
ALSO, you could try and just give her a bottle or sippy cup of water in her crib... my son, just likes to cuddle the bottle when he sleeps and he "twiddles" the bottle nipple with his fingers to sleep....it comforts him. It's just an instinctual thing, to want to grip the nipple...because this is like "Mommy" and where "milk" comes from, and its comforting for them. So, my son has just found his own thing to soothe with, and me by observing this, I learned from him. Even if the bottle is empty, my son does not care... he just likes to hug the bottle and play with the nipple to sleep. It does not bother me. He knows how to self-soothe.
Try and find something that your daughter will self-soothe with... it's worth a try.
All the best,
Susan