"In Japanese, the word Janome (pronounced Ja-NO-me) means "eye of the snake." The company earned the name in the 1920s when founder Yosaku Ose, a pioneer in Japanese sewing manufacturing, began to use a round metal bobbin system instead of the traditional long shuttle. The Japanese thought the new round bobbin looked like a snake's eye, and from the innovative design, a name was born."
I found this on their website. Ja is "snake", no is "of", and me means "eye." Same meaning as eye of snake, but different word order.
Deborah