United dies gave a plan for choosing people, based on ticket class and time if checking (among other things) so no, they would not have asked someone in first c

United dies gave a plan for choosing people, based on ticket class and time if checking (among other things) so no, they would not have asked someone in first class. But they don't have a procedure for removing someone from the plane, at least not for this reason. As far as I can tell all of their procedures deal with people before they get on the plane. They do have a list of reasons to declare someone, but over booking is not one of them.