Nanny asked if she can take naps

My nanny watches 2 babies and both take 2 naps a day (about 1-2 hours each). She’s asked if she can also take naps and gave no explanation.

This caught me off guard and I said I’d prefer she find something baby related she can do with her time.

Was this unreasonable of me?

I just found this request strange since you wouldn’t ask this in any other profession. Her hours are reasonable (8:30-4:30). I think if she’s on the clock then she should find something to do to keep busy, and when there’s really nothing left of course she can relax (she’ll usually watch tv). Though honestly I’ve seen her fall asleep on the couch anyway.

At this point I’m almost wondering if I should offer her our guest room for naps when the babies are also asleep since she falls asleep on the couch anyway?! I just don’t want to set a bad precedent (e.g. she always naps/hides unless I give her specific tasks. I can genuinely see this happening).

Anyway, spinning my wheels here. Thanks in advance!