Okay I realise every baby is different... but.... I am wondering how much sleep on average could you expect from a 12 week old at night?

We currently bath Hollie at around 10pm (I realise this is ridiculously late) and then give her a feed, and this usually means she will sleep until about 5am, or 7-8am on a really good day... I know she needs to be going to bed earlier, especially as she isnt a little newborn anymore and will soon be a little girl. I would love to try to get her down at say 8pm, but every time we give her a bath earlier and try to get her to sleep earlier (following all the same rituals only difference is the timing) it fails miserably, she just won't settle in her cot any earlier in the evening, its as if she 'knows' it isn't her usual bed time.

Everytime I bath her earlier, say 7pm, even if she has her last feed at the same time (10.30pm) she has then been waking at 4am, I can only attribute this to the earlier timing of her bath... I am desperate to stop bathing her at 10pm, but am not too keen on the 4am wake ups...

Does anyone have any idea how I could coax her into going down for the evening earlier...? and even then can i really expect a 12 week old to WANT to sleep until a reasonable hour, say 6am? (i realise she will need fed during the evening, thats fine, i just think there is no way she will ever be sleeping at say 8pm and only waking for a feed(s) then straight back to sleep til the morning)

i think if i ever do get her down early, i think she will then wake for the day super early as a result... is anyone else in a similar situation or does everyone have their babies sleeping soundly come early evening?

id really love to hear what other babies of a similar age sleep or slept at night.

any advice welcome.