Meanings of lay no claims in English

I merely said I lay no claims to being an American.

I lay no claims on you; I'll not embarrass you.

I lay no claims of truth on the matter.

It is true, that, compared with some of our palaces, it can lay no claims to antiquity; but from the days of Henry VIII.

Uncle Nathan, though he laid no claims to gentility in the popular signification of the term, was, nevertheless, a gentleman,-oneof Nature's noblemen.