Hi L.
Like you I had the same issue with my son, but he was a tummy sleeper (yes i know the warnings about SIDS, we were extremely careful with him - he is now a healthy 1 year old) and he hated being on his back think the feeling of falling kept him up.
If your daughter is turning onto her tummy, it wont be long before she can turn back onto her back - so have lots of tummy time and try to encourage her to roll over. That will make life so much easier for you both. But im sure you know all this as you done this all before;-)
Here are a few tips that helped me get my son to sleep better.
1. A proper mattress. One that is both supportive but comfy
2. A warm blankie (babies are most comfortable either wrapped up like a burrito or just with their fav soft (warm) blankie. Room temp probably around 70' - 74'F)
3. Have you considered a baby positioner to keep her from rolling onto her tummy?
4.Make sure she has fed enough before putting her to sleep - I had to put cereal in my son's bottle just so he does not wake again at 10pm for formula.
5. Pampers also make good nights diapers (for night time or traveling and has extra absorbency) and they are much better than the HUGGIES brand. I personally prefer Pampers to Huggies - yes we use luvs too for daycare. I am using Pampers Cruisers and they work just as well. They are specially formed to prevent leaks and they have flexible sides. they come in sizes 3 and 4.
My son also wakes up when he is wet so i try my best to keep him dry enough for sleeping. This was a big issue and it took me a long time to find the right diapers. The baby dry works too - supposed to keep baby dry for up to 12 hours. Try any of those three and see what works best for your baby. I change his diaper when i feed him at 3/4 in the morning this way i know he will not over-fill his diaper and ly there cold and wet. (it happened before and broke my heart)
Some babies sleep best when swaddled, others don't like to be constricted. Its all trial and error.
Most important i would say - make sure she ate enough, Night time diapers and a comfy mattress. If you dress her warmly and she does not use a blanket - that's fine too.
Good luck!
-L.