Health
Old English hǣlth, of Germanic origin; related to whole.
wiktionary
From Middle English helþe, from Old English hǣlþ, from Proto-West Germanic *hailiþu, from Proto-Germanic *hailaz(“ whole, hale”). Cognate with Old High German heilida. Analyzable as whole + -th, hale + -th, or heal + -th. More at heal.
From Middle English heleð(“man, hero, fighter”), from Old English hæleþ(“man, hero, fighter”), from Proto-West Germanic *haliþ, from Proto-Germanic *haliþaz(“man, hero”). Cognate with West Frisian held(“hero”), Dutch held(“hero”), German Held(“hero”), Norwegian Nynorsk hauld(“freeman”).
etymonline
health (n.)
Old English hælþ "wholeness, a being whole, sound or well," from Proto-Germanic *hailitho, from PIE *kailo- "whole, uninjured, of good omen" (source also of Old English hal "hale, whole;" Old Norse heill "healthy;" Old English halig, Old Norse helge "holy, sacred;" Old English hælan "to heal"). With Proto-Germanic abstract noun suffix *-itho (see -th (2)).
Of physical health in Middle English, but also "prosperity, happiness, welfare; preservation, safety." An abstract noun to whole, not to heal. Meaning "a salutation" (in a toast, etc.) wishing one welfare or prosperity is from 1590s. Health food is from 1848.
