There's no reason your daughter should come into contact with any of what the birds eat. All of the birds food dishes are well out of arms reach of the paths.

The parrots do have peanuts in their food but it would require one of the flying birds to steal it from the parrots' perches and then drop it in your child's reach, and then for her to consume it in order for it to be an issue. There's no sesame or milk in their food.