Nope. But James was.
Then why wasnt James with his mother at the foot of the cross?
Wrong
But which James? James the son of Alphaeus? Or James the son of Zebedee?
For that matter, which Mary? It is unlikely that that particular Mary, the mother of James the Less and Joseph/Joses, was Mary of Nazareth, since that particular Mary was called "Mary of Clopas," (i.e. wife of Clopas) in John 19:25.
Do you want to posit that Mary of Nazareth was also the wife of Alphaeus? Zebedee? Clopas? Where does that leave Joseph the carpenter? Because Jesus was definitely known (to most) as the carpenter's son.
And Jesus is always called "THE son of Mary," but never "A" son of Mary, or "son of Alphaeus," " Zebedee." or Clopas." Nor are ANY of the Jameses ever "son of Joseph" or "the carpenter's son."
So I think your claim about Jesus' mother being the mother of James is.... problematic.
One question: were ANY of the Jameses ever identified as “son of Mary,” as Jesus was?