I've never seen any kids there. Kind of small and tables are very close together.

But IMHO the best pizza I've ever eaten.

Mama Palmas is totally baby friendly though it always better to eat early- before 7pm when it gets crowded. The owner always is kind, gives us lollipops, free desserts etc. of course pizza is great too. However it is probably too cramped for a large party.
We also go the Laotian restaurant on 11th and Washington but that would be too large. My Thai is also child friendly and bigger and you could walk to it.
We have eaten in Marathon and it is fine and child friendly

We ended up going to Davio's. They were absolutely wonderful about the baby. When we came in, they had a high chair ready and provided the baby with crayons and a kid's menu that had a picture to color on the back. They sat us in a corner and kept the tables adjacent to us empty, even as the restaurant started to fill up, so that the baby could walk around a little bit. The waiters kept coming over to wave and smile at the baby, ask her how she was doing, etc. They even picked up her crayons when she would drop them. I can't say enough good things about the service there and plan to write them a very nice letter thanking them for a wonderful experience.