Lee - when she went to take her nap did you ask if she wanted you to join her? I think you could have done that in a very casual way.
Hard to know if she just got too tired to follow through on her promises, or if she thought YOU didn't want to (waiting for you to initiate?). But her flirting with you and talking about it is good. Next time she does it, try picking up your end of the rope very gingerly!