LC,
I know that the NCAA puts out a guidebook for statisticians. And I think you can view it somewhere on their website, which is
http://www.ncaa.org . I don't know if the High School Federation puts out its own version.
Most officials (which is mostly who posts on this forum) aren't concerned with stats and their definitions. But if I had to choose, I'd go with your first description. Whoever first establishes control after a missed shot, regardless of who else touched it.
Somebody else will probably give you a more definitive answer. Welcome to the forum. And, by the way, I'll be waiting at our usual cafe. . .
Me and Mrs. Jones, we got a thing going on,
We both know that it's wrong
But it's much too strong to let it cool down now.