Nothing separate just for the naming. Especially if it's paired with the birthday, just give a birthday gift.

If it was a stand alone event you could give a small gift, but nothing crazy - a favorite kids book with a handwritten note, or an outfit. If you've already given a baby gift you don't really need anything else.

A naming for a girl is normally within the first year and
Many wrap it together with their birthday.

Makes it easier and cheaper.

You can bring a small gift (something you might have brought to the shower but Jews don't typicalky have showers) or not. You can give cash for a college fund or not. I've never heard of a baby naming at the first birthday, usually it's quite soon after the baby is born. I'd bring a few books or an outfit. Or not. You'll be appropriate either way.

We just went to one and I'd say about half the people brought gifts. But it was stand alone, not part of a birthday. We brought books. I'm not Jewish so not sure if there are more traditional gifts. I did ask a Jewish friend what would be appropriate, and she didn't really know either.

Is it customary to give gifts for this party/ceremony? This particular one is in combination with a first birthday party, so I'm guessing yes. Just wondering if there are any traditional gifts for a baby naming. TIA