"Here am I" is given in Oxford Dof Q's and it's the only one I can see which fits. I've just looked in an old ( cost 10/6 in old money!! ) Penquin Dict of Quotes but can't see anything which fits the others. Sorry.
ageing fast- what a lovely list of nursery rhymes, it's amazing how many you can recite once you get the first line, isn't it!
I'm at a loss as to what the remaining ones are - probably something more modern.