No not odd, but as a nanny I would prefer maybe a bookmark (laminated) made by the child and a book, or just something made to tailor what the nanny likes, breakfast (bagels or donuts) on Christmas eve. As for daycare providers cookies or just a thankyou/ Christmas card are fine.
She has only worked for us since sep and she works 12 hours per week, sometimes 15 . She's neither great nor too bad but I just found it easier to keep her for now instead of training a new person. She constantly asks to leave 15 or 20 minutes earlier and she often comes 30 m earlier. I actually told her today to ask me if she can come earlier as man times, I am not home and I just come because she is about to arrive.she got a $40 certificate for thanksgiving
Imo employees (such as a nanny) should be given a monetary Christmas bonus.
For child care Providers cookies are fine :)
By all means make some cookies. And make them with your kids too. I would rather get a gift that way anyway. It makes it more of a special gift if it is homemade and came from the heart. You may even want to do a handmade card as well. If she is worth her salt as an understanding human being, she will love the gift. :)