First off squirting an 11 week old puppy with water to shut it up is completely uneccersary!!!!!

For god sake she is a baby who has not only left its mother and litter mates but has moved home again, I don't blame her for being unsettled!
If she cries go down, take her to the toilet and settle her back in bed with no fuss. An 11 week old puppy waking up at 5.30 in the morning is quite normal because they have tiny bladders that can't last as long as you and I.
Also mornings are getting lighter which can also confuse a puppy.