1950, Langston Hughes, Simple Speaks His Mind, Chapter 12, in The Early Simple Stories, The Collected Works of Langston Hughes, Volume 7, edited by Donna Akiba Sullivan Harper, University of Missouri Press, 2002, p. 60–61,
This morning I paid seventy cents for two little old dried-up slivers of bacon and one cockeyed egg.
(informal) Absurd, silly, or stupid; usually used in reference to ideas rather than people.
I'm not going to go along with your cockeyed plot.