merry with liquor; slightly intoxicated ...1612 sl. obs.
from tip (n.) intoxicating liquor (obs.) + -merry
(possibly shortened from tipple)
FIRST DOCUMENTED USE
1612 - See Example below
"...They complained that no one would be a witness against drunkards, 'because the most part love these cup companions,' and they described one man as unfit to keep an alehouse 'because he will be tipmirrie himself..."
From: A report (dated 1612) in Historical Manuscripts Commission in Various Collections (Burford)
• A New English Dictionary on Historical Principles,
James Murray, 1887-1933