Based on what?
Historically and legally, the only exceptions to the "natural born" rule were the children of royalty, ambassadors, and invading armies.
Based on the history and the law, I think even the case for a child of students on student visas would be very weak. But it's at least possible to make, as the Wong case dealt with a child of immigrants.
Anyone who had a citizen parent, or even a RESIDENT parent, would clearly be good to go.