'quickly-grown' originates from Modern English, specifically the combination of the adverb 'quickly' and the past participle 'grown', where 'quickly' is formed from 'quick' + suffix '-ly' meaning 'in a rapid manner', and 'grown' is the past participle of 'grow'.

'quick' comes from Old English 'cwic' meaning 'alive, living; rapid' and the adjectival/adverbial suffix '-ly' comes from Old English '-lic' (later Middle English '-ly'). 'Grow' comes from Old English 'growan' meaning 'to grow', which produced the past participle form 'grown'. The compound or hyphenated construction 'quickly-grown' is a descriptive modern English formation combining these elements.

Initially the elements functioned as separate words ('quickly' + 'grown'); over time, using them together as a hyphenated compound adjective developed to denote the state of having grown rapidly, without changing the core meanings of the parts.