It doesn’t necessarily work that way. OP should ask parents if they have maintained any residual residency in a state and check out if any schools in that state will take that connection as in state for tuition purposes. At this point, we do not know whether parents are even citizens.
I grew up overseas, and my parents did not maintain any relationship with any state so I had no state residency when it came time for me to apply to college. My parents preferred to sever those ties over paying state income taxes while they were overseas. They had no intentions to return to the state they left, and did not return there either. They were typical of expats— I remember.
So it’s something OP should investigate, but since no state is mentioned as a “home”, I get the just that there is none.