You aren't doing this stuff *for* the mother, you're doing it for the child. It doesn't have to be one sided, it can also be zero sided. It will not be 2 sided because this woman would have to want to be the other part of it and she obviously doesn't want to. We don't do favors and expect things in return, or at least we shouldn't. Thats not a very good attitude to pass on to your daughter. Doing nice things is the reward in itself. If you don't want to do it just say no, thats your problem and if you keep saying yes and are resentful then you are doing to yourself, she's not doing it to you. I can ask for things all day and night but the other person has to say yes. You feel bad and say yes and then want something in return,when you don't get it you are upset, its natural.
When I first started inviting kids over for birthday parties I was upset sometimes that some of the people didn't invite my son to theirs but you know what- there was no agreement that if I do this, you will do that. I invite them because I like them and my child likes them,not so we can get invited back.
Who knows what goes on behind close doors with this woman. Maybe she doesn't like kids in her house, you said play dates with others are rare. Maybe she's a private person, or has depression, or is overwhelmed, or just doesn't like you but needs your help and hates having to even ask but has no choice, or, or , or. She is a single/married person with 3 kids, its not easy.
Also, when I was growing up in the 70's we lived in a blue collar neighborhood, none of the parents had higher than a high school education so money was tight for everyone. There were tons of kids my age. All of the other parents would go out on Saturday nights with their friends to movies and dinner and had babysitters, thats what they did with their extra money. My parents never did any of that. All the neighborhood kids hung out at our house because my parents used their extra funds to buy nintendo, a basketball hoop, rent movies, and to take us and everyone else to the museums, beech, amusement parks etc My mother drove everyone to school. Do you know that NOT ONCE did any of the 20 or so parents every take me and my brother anywhere or drive us. We were never invited over for dinner or anything. My parents fed anyone who was at our house. They loved providing a safe, fun place for everyone. They did this for 10 years until we were all driving. When my father died the neighbor boy that I grew up next to spoke at the funeral, sobbing, and said if it weren't for my parents he never would have gone anywhere or done anything fun, his parents were just to self absorbed.
If my parents had stopped doing nice things because no one reciprocated, so many of our friends wouldn't have the happy memories they have today.
The reasons don't matter. Keep doing good things, its worth it.