allege

To state under oath, to plead.

To cite or quote an author or his work for or against.

To adduce (something) as a reason, excuse, support etc.

I will further alleage a storie[…]to make us palpably feele his naturall condition.

To make a claim as justification or proof; to make an assertion without proof.

The agency alleged that my credit history had problems.

To lighten, diminish.

and suffir never your soveraynté to be alledged with your subjects,

Hart that is inly hurt, is greatly eased / With hope of thing, that may allegge his smart[…].