Green’s Dictionary of Slang

lop-ear n.

also flop-ear
[? the prevalence of rabbits in the state]

(US) a nickname for an inhabitant of Oregon.

[US]Oregon Statesman in G. Barth All Quiet on the Yamhill (1959) 23 June 58: The nicknames for Oregonians, in most common use, is ‘Webfoot,’ but some insist that ‘Lop-ear,’ others that ‘Flop-ear’ is the proper designation.