bespeak vs lay claim

bespeak and lay claim both are verbs.

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

As verbs, lay claim is a hyponym of bespeak; that is, lay claim is a word with a more specific, narrower meaning than bespeak:

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

bespeak (verb)	lay claim (verb)
express the need or desire for	demand as being one's due or property; assert one's right or title to
be a signal for or a symptom of