lay claim vs request

lay claim is not a noun while request is a noun.

Word	Noun	Adjective	Verb	Adverb
lay claim	No	No	Yes	No
request	Yes	No	Yes	No

As verbs, request is a hypernym of lay claim; that is, request 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
request: express the need or desire for

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

lay claim (noun)	request (noun)
	the verbal act of requesting
	a formal message requesting something that is submitted to an authority

lay claim (verb)	request (verb)
demand as being one's due or property; assert one's right or title to	express the need or desire for
	ask (a person) to do something
	inquire for (information)