Is it farther or further?
early 13c., "loud outcry, clamor, shouting," from Old French noise "din, disturbance, uproar, brawl" (11c., in modern French only in phrase chercher noise "to pick a quarrel"), also "rumor, report, news," apparently from Latin nausea "disgust, annoyance, discomfort," literally "seasickness" (see nausea).
Another theory traces the Old French word to Latin noxia "hurting, injury, damage." OED considers that "the sense of the word is against both suggestions," but nausea could have developed a sense in Vulgar Latin of "unpleasant situation, noise, quarrel" (cf. Old Provençal nauza "noise, quarrel"). Meaning "loud or unpleasant sound" is from c.1300. Replaced native gedyn (see din).
late 14c., "to praise; to talk loudly about," from noise (n.). Related: Noised; noising.