Reside
late Middle English (in the sense ‘be in residence as an official’): probably a back-formation from resident, influenced by French résider or Latin residere ‘remain’, from re- ‘back’ + sedere ‘sit’.
wiktionary
From Middle English residen, from Old French resider, from Latin resideō(“remain behind, reside, dwell”), from re-(“back”) + sedeō(“sit”).
etymonline
reside (v.)
late 15c., residen, "to remain at a place," from Old French resider (15c.) and directly from Latin residere "sit down, settle; remain behind, rest, linger; be left," from re- "back, again" (see re-) + sedere "to sit" (from PIE root *sed- (1) "to sit"). The meaning "to dwell permanently or for a considerable time" is attested by 1570s. Related: Resided; residing. Also from the French word are Dutch resideren, German residiren.
