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Douglas Harper's Etymology Dictionary
muchly

mid-12c., from much + -ly. Middle English used simply much as an adverb.

Wiktionary
muchly

adv. (context colloquial English) very much, very

Usage examples of "muchly".

Its utility was grievously impaired, it having been muchly damaged on the Alaria, and he feared, too, that on this world it would constitute little more than a clumsy, weighty encumbrance.

The guards had liked us, muchly, and had apparently expected that they would for, to our delight, they had purchased a small bottle of Ka-la-na wine, in a wicker basket, which they had permitted us, swallow by swallow, to share.

The depot, incidentally, had been muchly crowded, thought not with fee carts.