Yes that seems like a crazy sleep schedule to me. but as Little Monkeys stated, parents will do what they want to do.
Ideally, she shodul be getting weaned off of 2 naps soon and onto one 2.5-3 hrs nap daily.
Is there any way you can feed her bottle before she lays down for nap (There was a previous thread about the dangers of going to bed with a bottle, especially for liability reasons).