"fully, sufficiently, copiously," 1550s, from ample + -ly (2).
Entries linking to amply
ample adj.
mid-15c., "great, abundant," especially "sufficient for any purpose," from Old French ample "large, wide, vast, great" (12c.), from Latin amplus "large, spacious; abundant, numerous; magnificent, distinguished," which is related to ampla "handle, grip; opportunity," from Proto-Italic *amlo- "seizable," from a PIE root meaning "to grab" that also is postulated as the source of amare "to love" (see Amy).
-ly 2
common adverbial suffix, forming from adjectives adverbs signifying "in a manner denoted by" the adjective, Middle English, from Old English -lice, from Proto-Germanic *-liko- (cognates: Old Frisian -like, Old Saxon -liko, Dutch -lijk, Old High German -licho, German -lich, Old Norse -liga, Gothic -leiko); see -ly (1). Cognate with lich, and identical with like (adj.).
Weekley notes as "curious" that Germanic uses a word essentially meaning "body" for the adverbial formation, while Romanic uses one meaning "mind" (as in French constamment from Latin constanti mente). The modern English form emerged in late Middle English, probably from influence of Old Norse -liga.