outside scholarship for US citizens living overseas

She’d be eligible for any scholarship that requires US citizenship or other similar status.

Many scholarships are only available to high school kids in that state or can only be used in that state. That’s going to eliminate a lot of them.

There are some groups like the Society of Women Engineers, Elks, DAR that offer scholarships but you have to hunt them down and they are hard to get.

Most people usually start with the school they have applied to, and then look in their local area (for all the civic group ones), for special talent ones like drama or band, for athletic ones.