Ideas to keep baby warm

Sam
So it's getting to be freezing in California this winter, and I am looking for ways to keep the baby warm. We have a space heater set to high, and she's dressed up in 3 layers, a onesie, a fleece onesie and a sleep davk, but still Wakes up in the night due to the cold (her hands and nose are cold). We put a fleece blanket over her in the day when she sleeps (since we can watch her and she absolutely loves her blankrt). I am very skeptical about putting her in one all night however.