Bargeworthy was a participant in the mysterious 1877 Quidditch World Cup tournament held in Kazakhstan. Retaining no recollection of any of the events of the so-called “Tournament that Nobody Remembers“, he was missing most of his teeth when he returned to consciousness (QWC).
Lucas is an English form of the Greek name Λουκας (Loukas) which meant "from Lucania", a region of southern Italy (Behind the Name).
Bargeworthy is a surname that has probably been constructed from the words barge (meaning "a flat bottomed boat" or "to move forcefully or roughly") and worthy (meaning "having qualities deserving regard" or, conversely, "good intent, but lacking in humour").
It isn't known whether, following the traumatic events of 1877, Lucas Bargeworthy decided to attend the re-staged Quidditch World Cup tournament the following year.
Lexicon timeline of Quidditch
Lexicon list of Beaters
From the Web
Writing by J K Rowling on WizardingWorld.com (Pottermore): The Daily Prophet
Writing by J K Rowling on Imgur (Daily Prophet coverage of the 2014 Quidditch World Cup, originally from Pottermore):
MuggleNet: Where Newt Got His Memory-Wiping Idea by hpboy13
Harry Potter Wiki: Lucas Bargeworthy