Commas

Q. In the following sentence, it would appear that naming Fred as my brother is a nonrestrictive parenthetical: My brother, Fred, and I teach at the same school. However, these commas could be taken as serial commas (my brother and Fred and I teach at the same school). Thus, I was taught to write such a sentence as follows: My brother Fred and I teach at the same school. Which would you consider correct?

A. The clear one is the correct one.

[This answer relies on the 17th edition of CMOS (2017) unless otherwise noted.]