I do beg your good will in this case.
Shak.

[Joseph] begged the body of Jesus.
Matt. xxvii. 58.

Sometimes implying deferential and respectful, rather than earnest, asking; as, I beg your pardon; I beg leave to disagree with you.

Yet have I not seen the righteous forsaken, nor his seed begging bread.
Ps. xxxvii. 25.

Else some will beg thee, in the court of wards.
Harrington.

Hence: To beg (one) for a fool, to take him for a fool.

I beg to, is an elliptical expression for I beg leave to; as, I beg to inform you. -- To beg the question, to assume that which was to be proved in a discussion, instead of adducing the proof or sustaining the point by argument. -- To go a-begging, a figurative phrase to express the absence of demand for something which elsewhere brings a price; as, grapes are so plentiful there that they go a- begging.

Syn. -- To Beg, Ask, Request. To ask (not in the sense of inquiring) is the generic term which embraces all these words. To request is only a polite mode of asking. To beg, in its original sense, was to ask with earnestness, and implied submission, or at least deference. At present, however, in polite life, beg has dropped its original meaning, and has taken the place of both ask and request, on the ground of its expressing more of deference and respect. Thus, we beg a person's acceptance of a present; we beg him to favor us with his company; a tradesman begs to announce the arrival of new goods, etc. Crabb remarks that, according to present usage, "we can never talk of asking a person's acceptance of a thing, or of asking him to do us a favor." This can be more truly said of usage in England than in America.

I can not dig; to beg I am ashamed.
Luke xvi. 3.