Felt like I was reading those coincidences between Abraham Lincoln and John F. Kennedy.
As for the parallel in I Kings 2:17-19, where the king says he will not refuse to hear his mother, you would do well to read the whole story.
Bathsheba asks Solomon if he would give Abishag the Shunammite for Adonijah to wife. Adonijah was Solomon's half brother, from David's other wife Haggith, who planned to take over the kingdom after David died. Abishag the Shunammite was a young virgin who was sent to David to minister to him in his dying days, but not sexually, just to keep David warm. Nathan the prophet tells Bathsheba to go into David's chamber and ask him who the rightful king should be, and David tells Bathsheba and Nathan that Solomon will reign as king when he dies, and in fact appoints Solomon ruler over Israel then and there and sits on the throne already.
Adonijah then asks Solomon for mercy not to kill him and Solomon agrees so long as he doesn't commit evil.
So then David finally dies, and now Adonijah wants Abishag the Shunammite and goes and asks Bathsheba (the mother of Solomon, but not Adonijah's mother) if she'll ask Solomon for him. Solomon doesn't take this well as he suspects that it is some kind of ploy of Adonijah to take over the kingdom. So Solomon ends up killing Adonijah.
In short, Solomon the King refused Bathsheba, his mother's request.
Not quite what happened with Jesus and Mary.