19th century 'french english' dictionaries list a 'greedy gut' as a definition for Gourmand or Gouliafre or Goulard I grew up with the phrase 'greedy gut' A quick search shows this going back to the 1500's.
"Greedy guts! greedy guts! Eat all the world up! "
"A greedy guts ne'er got a gude meltith. "
Century Dictionary: "A greedy person a glutton a belly god Vulgar
'Whence comes it that so little Fresh water fodder meat and other vlctuall Should serve so long so many a greedy-gut!' Sylvester, tr. of Du Bartas "
Another from Du Bartas
"...Heer'sth' other Furie (or my judgement fails)
Which furiously mans wofull life attails.
With thousand Cannons, sooner felt then seen,
Where weakest strongest; fraught with deadly teen: