"with the head uncovered," 1520s, from bare (adj.) + -headed.
Entries linking to bare-headed
bare adj.
Old English bær "naked, uncovered, unclothed," from Proto-Germanic *bazaz (source also of German bar, Old Norse berr, Dutch baar), from PIE *bhoso- "naked" (source also of Armenian bok "naked;" Old Church Slavonic bosu, Lithuanian basas "barefoot"). The meaning "sheer, absolute" (c. 1200) is from the notion of "complete in itself."
-headed
"having a head" (of a specified kind); see head (n.).