yes, definitely copying what you do to them, but can understand how you feel sad about thinking she's lonely, mellow. as mums, we beat ourselves up all the time, don't we?
paddle - my dd does the finger-pointing NO!,thing too. we're obviously graduates from the same school of motherhood.
she also jigs "baba" up and down with lots of frantic SHHHHHing..
next thing she'll be opening a bottle of chilled white on the dot of 7pm...
now, before i had kids, was never one for gender differences - in that i thought it was nurture rather than nature that had biggest effect.
but
ds1 and ds2 never "shhhsed" their toys or pushed their toy buggies up and down like trying to calm a baby, like dd does, although they would have seen me doing it, too.
also really didn't want to get dd a toy buggy (although fine about boys having them. I know, i know, PC gone mad) or dolls...but she's always drawn to "girlie" toys. but reckon it all balances out as she also plays with the boys' trucks etc.