K.M.
My son who is the same age can be the same way. It is very frustrating! I tell him sometimes that I will play with him after I do a chore such as folding laundry or I'll start playing with him and tell him I'll be right back. I do what I have to do and come back. Also, when he asks me to play I'll say I will play with you after I finish such-and-such or there are times I come right out and tell him I have to do something and he needs to play on his own. If you can, try to get her out to interact with other children. I know it must be difficult with a 15 month-old. Also, preschool will definitely help if you can send her.