Hi Speedsta, sorry about the slow response. You and your daughters are right - this is a reproductive ant: an alate female.
It's an alate because it has wings, and you can tell it's a female because it has a normal shaped head and mandibles so it can eat. Males are always much smaller and have small heads without proper mandibles, because after they leave the nest on a mating flight, they don't live very long (maybe only a few hours), so don't need to eat.
The ant in your photo could be a "princess" who has not yet mated, or she could have mated and is now looking for a place to dig a nest. I can't be sure about the genus of the ant, but it is likely to be an Iridomyrmex.