L.H.
My boys are 10, 9, 4, 3. I started my older ones on chores 5 years ago. Simple ones and then built from there. Today they have daily and weekly chores. I still remind them (don't forget to unload the dishwasher I say as I leave for work) daily or it doesn't get done. I am ok with the reminder as long as they get them done. Over the weekend we had a lot of family coming over and I looked at them and gave them a room and told them they needed to clean it up and vacum - I was very impressed with the results. I think it is a training thing. My husband wasn't on board with the whole 'chore' thing because they were "too young" and "my mom did it all for me". I introduced him to the memory of my 19 year old niece who won't even pick up after herself because my sister always did it. That changed his mind. Well that and the pride you could see in the boys when the job was done and we praised them. I also give them a small allowance ($5.00/week that goes directly into their savings). Could you do that for her?
These are just things that I have encountered. I personally do not think you are asking too much of her, but 13 is a difficult age. Good luck!