There may be an additional transcription error here. I checked with with my parents, who spoke Yiddish as children and they say it should be "Buglitchki" as the word Bagel derives from Bugel, which means stirrup.
The young child comes home from his first day in school. He's inconsolable. Finally, his mother gets him to stop crying and explain what the problem is. "When I got to school, they insisted my name's not Bubeleh, it's Oiving."