DS was about 16 months when he dropped his afternoon sleep.

Is the short naps a problem? I'd be inclined to just leave her be. She might just need that short power nap to recharge. Having said that most children need an hour + day sleeps up until 3 or 4 years old so that little sleep at her age is unusual (DS - 19m - has dropped all his day sleeps now though and is fine).
You could give it a go and see what happens, you'll soon know if it's not working for her.