An archaic/pronunciation variant (えおじ) meaning one's father's older brother. In modern Japanese this relation is usually called おじ.
私のえおじ（伯父）は戦前に京都で働いていた。
My paternal older uncle (えおじ) worked in Kyoto before the war.
古い家系図には『伯父（えおじ）』と記されていた。
The old family register listed someone as '伯父 (えおじ)'.