Actually, we hear that a lot in my house. The cool part is it now comes from my one year old, Nib.
She is oh-so-cute. It used to come out "me-me", now it comes out "Mom-my".
The not so cool part is that she says it for anything and everything she wants. Right now, that's anything she can see. So we're treated to an unending litany of "Mom-my. Mom-my." It's a bit like having your very own truck back-up sound: Beep! Beep! Mom-my! Mom-my!