one who distends his belly; a glutton ...1628 obs.
from tenter (vb. to stretch cloth on a tenter) + belly (n.)
FIRST DOCUMENTED USE
1628 - see EXAMPLE below
"...Not with sweet wine, mutton and pottage, as many of those Tenterbellies doe, howsoeuer they put on Lenten faces, and whatsoeuer they pretend, but from all manner of meat..."
From: The Anatomy of Melancholy, With all the kindes, causes, symptomes, prognostickes, and seuerall cures of it.
- Robert Burton