My dd who is 2 yrs 8 months is exactly the same it's exhausting.
I have found the last few nights that if I lie with her for a while then say I'm going to go have a bath then ill come back and lie with her again and she has said okay. Then I have gone and had a bath and she has waited patiently and by the time I've come back she's been asleep both times.... Fingers crossed it keeps working cause I'm knakered. Never had this trouble with my ds... He just goes to bed easy ( he is almost 4).