I found my little girl would wake up constantly when she was cold, so I put the heating on a hour before I go to bed with her, then turn it off when I set her down x
Do you know what temp the room is? If not buy a room thermometer and see. Recommendation is 16-20 but we find ours sleep best in about 18-21 degrees. We have electric oil heaters in the kids room so we can just heat those and keep bills lower.
ours is around 19-21 and shes always slept through 😍
I found with my first that she needed one more layer than what the sleeping bag chart showed.
Apparently coldness is the number 1 reason for baby wakes after hunger! So definitely try the room a few degrees warmer, or an higher tog sleep suit and see if it makes a difference?