S.B.
My son is 2 & thinks I am his playmate as well. Maybe joining a playgroup will help so she can get used to playing w/ kids & will be better able to entertain herself at times? We go to a playdate almost every day & I know that when we are home all day- he is much more "needy". LOVE being needed, but also want to teach autonomy too!
Try www.meetup.com for one near you
When cooking, I have him "help" or watch if he is like that... either watch in a chair or highchair if I am cooking-
Good luck!