1 general:: Phrase(s): stay over (somewhere) to stay overnight in a dwelling other than one’s own. • Can I stay over at Jimmy’s tonight? • No, you can’t stay over.
McGrawhill's American Idioms And Phrasal Verbs
2 general:: Remain overnight, as in We hadn't planned to stay over but the bad weather changed our plans. [Late 1800s]
American Heritage Idioms