Green’s Dictionary of Slang

(US) askew, slanted; also as adv.

1869		‘South-Western Sl.’ in Overland Monthly (CA) Aug. 128: A mustang is not ‘worth shucks.’ He will run ‘skygodlin’ (obliquely); lie down and roll over.
1939		P.G. Brewster ‘Folk “Sayings” From Indiana’ in AS XIV:4 266: Objects ‘out of plumb’ (i.e. off-center) are ‘si-gogglin,’ ‘catawampus,’ or ‘settin’ whopperjawed’.
1953		Randolph & Wilson Down in the Holler 284: sky-gogglin: adj. Crooked, irregular, lopsided, askew, aslant, awry.
1963		Decatur Herald (IL) 10 Jan. 48/3: The lines weren’t always plumb. When the roof was too much on the skewgee, the neighbors would remark ‘that there barn is sure sigogglin’’.
1981		L. Pederson LAGS Basic Materials [DARE].