Autograph
early 17th century: from French autographe or late Latin autographum, from Greek autographon, neuter of autographos ‘written with one's own hand’, from autos ‘self’ + graphos ‘written’.
wiktionary
From Latin autographum, in turn from Ancient Greek αὐτόγραφον(autógraphon, “a writing in one’s own hand”). Equivalent to auto- + -graph.
etymonline
autograph (n.)
"a person's signature," 1791, from French autographe, from Late Latin autographum, from Greek autographon, neuter of autographos "written with one's own hand," from autos "self" (see auto-) + graphein "to write" (originally "to scratch;" see -graphy). Used earlier (1640s) to mean "author's own manuscript." As an adjective, "written by oneself," by 1832. Related: Autographic.
autograph (v.)
"to sign one's name," 1837, from autograph (n.). Related: Autographed; autographing. Earlier "to write with one's own hand" (1818).
