A common mis-spelling for berry.
Can also refer to an individual who consumes too many fermented alcoholic beverages.
Man 1: Hey, remember that beery that we met at the bar last night, was her last name Abby Beery?
Man 2: No man, her name was Abby Berry, but yes she was very beery.
Having a thirst for beer.
"Are you feeling beery?"
(Want to drink some beer?)