Old English hær "hair, a hair," from Proto-Germanic *hēran (source also of Old Saxon, Old Norse, Old High German har, Old Frisian her, Dutch and German haar "hair"), perhaps from PIE *ghers- "to stand out, to bristle, rise to a point" (source also of Lithuanian šerys "bristle;" see horror).
Spelling influenced by Old Norse har and Old English haire "haircloth," from Old French haire, from Frankish *harja or some other Germanic source (see above). Hair-dye is from 1803. To let one's hair down "become familiar" is first recorded 1850. Homeopathic phrase hair of the dog (that bit you), remedy from the same thing that caused the malady, especially a drink on the morning after a debauch, 1540s in English, is in Pliny.
The Romans began to cut the hair about A.U.C. 454, when Ticinius Maenas introduced Barbers from Sicily. Then they began to cut, curl, and perfume it. The glass was consulted as now upon rising from the barber's chair. [Rev. Thomas Dudley Fosbroke, "Encyclopædia of Antiquities," London, 1825]
Related: Haircutter; haircutting.