Our five and a half month old is doing brilliantly and sleeping through with one night feed. That night feed is getting later and later which is great but the past two nights it's been 5.15am and so we feed her and then she is wide awake. We put her back in her cot but she just chats and gurgles happily. We are therefore starting the day off with a tired baby. She is also now not interested in her morning milk which she has at 7-7.30am. Any tips? Do we give less milk at the 5am ish feed in the hope she will soon drop it and wait until 7? My concern is that she probably would really struggle to fall back asleep without that full tummy.