A bath.
"After her long day at work, she finally sank into a warm bain to relax her muscles."
Ready; willing.
"After hours of waiting, the chef finally became bain to start cooking once the ingredients arrived."
Readily; willingly.
"She did not have to be asked twice, as she would always bain to help her friends in need."
A surname.
"Our new neighbor, Mr. Bain, waved enthusiastically as he moved his car into the driveway."