I do have you... because you missed the point. 1 Kings 2 isn't about her request or about Solomon's answer. It's about her role and her position in the throne room. Bathsheba was enthroned at the right hand of the king as the queen mother. As Christ is the everlasting Davidic King, so Mary has taken her place as His mother in His Kingdom.
I caution not to use the following queen mother events in the Kings books. The image of queens gets worse.
I caution you from too much extrapolation... there are some very bad images of kings as well. Is Christ's Throne tainted by Rehoboam, Jeroboam or Ahab?