lonesome vs sole

lonesome is not a noun while sole is a noun.

Word	Noun	Adjective	Verb	Adverb
lonesome	No	Yes	No	No
sole	Yes	Yes	Yes	No

As adjectives, lonesome and sole are synonyms defined as:

Other synonyms of lonesome include lone, only, solitary.

lonesome (noun)	sole (noun)
	right-eyed flatfish; many are valued as food; most common in warm seas especially European
	the underside of footwear or a golf club
	the underside of the foot
	lean flesh of any of several flatfish

lonesome (adjective)	sole (adjective)
marked by dejection from being alone	being the only one; single and isolated from others
being the only one; single and isolated from others	not divided or shared with others

lonesome (verb)	sole (verb)
	put a new sole on