In your office, will you buy a gift to your boss on her/his birthday?
In the contrary, in special festival like Chinese new year, will your boss give you red packet although he/she is single?
I'll not expect my maid to buy gift to my child. And, I would rather prefer the maid to perform her duties good and take good care of my child. In special festival or maybe her birthday, I may give her red packet as my appreciation of her works to our family. Of course this is also not a must of an employer.
We did hold a small birthday party for my daughter this year, and we invited the neighbour's kids to join. And one of my neighbour's Filipino maid, which is quite familiar to our family did buy a $10 cushion from Watson's to my daughter for birthday present (she and her master's kids didn't join the party).
I think it all depends on the maid herself whether she has this kind of 心思. It is really no big deal as long as she 日常treats the kid good .