Shoku Nihongi (Chronicle of Japan Continued) describes that the family name of Ona was MAE before he was appointed to Mikawa no kuni no kami, and it changed to IMIKI when he was appointed to Shimotsuke no kuni no kami.
続日本紀の記述では、大魚の姓は三河守任官までは前であるが、下野守任官の際は忌寸となっている。