lay claim vs ask for

lay claim and ask for both are verbs.

Word	Noun	Adjective	Verb	Adverb
lay claim	No	No	Yes	No
ask for	No	No	Yes	No

As verbs, ask for is a hypernym of lay claim; that is, ask for is a word with a broader meaning than lay claim:

lay claim: demand as being one's due or property; assert one's right or title to
ask for: express the need or desire for

Other hypernyms of lay claim include bespeak, call for, quest, request.

lay claim (verb)	ask for (verb)
demand as being one's due or property; assert one's right or title to	express the need or desire for
	increase the likelihood of