Kid friendly lunch spots in New Haven
I would ask what you mean by kid friendly? Almost everything I have experienced so far I would say would be fine for lunch. You may not find specific child's menus but you can always order them appetizers or side dishes, like pasta.
Take her to Barcelona or Ibiza where they have tapas. I think "small plates" would be perfect! Both are very close. Scoozi, a little farther away is another idea. About two blocks away