It's great that she is self-settling during the night. With a couple of NW's and another EW, I would still stick by nap around 11-11.30 and then bed by 6 or 6.30, Rachael.
Why not give the early bedtime a go first and hopefully you can prove DH wrong *wink* in regard to a later bedtime = later wake-up.
I meant to ask in my last answer, hth do you manage to get her to stay in her bedroom from 4.30 to 6 a.m.

!!! I hope you're treating the EW as a NW, in effect, and offering no attention, play or anything. Personally, knowing she NEEDS more sleep I would wait up to 20 minutes (perhaps longer if she's only whingeing) then go in with a torch or put a nightlight on or something - exactly the same routine as if you're attending to her for a NW'ing. Offer her a drink of water, change her nappy (she might be one of those kids who doesn't like a full, heavy nappy?) and then tell her it's sleepytime still, lay her back down and walk out. Minimal eye contact, minimal attention. I would then leave her again for 20 minutes, or however long you can personally stand. Put a pillow over your head and pop in the earplugs! Remember that she will be clean, have had a drink and based on past experience should not be hungry til at least 7 a.m. from what you've told us. Yes there are some kids who can get by on minimal sleep, but seeing as you're posting here as being "desperate", I assume she can't handle it, therefore you do need to reset her bodyclock iykwim. You might also find those kiddies who do such a short sleep overnight make up for it with a longer nap, which is not the case with Maya.
I still believe the key lies with an early bedtime. Please give it a go, if only to prove your DH wong!!
xo