Jesus was also human. She was mother of the human side of Jesus.
Luke 1:43 See above.
Third, the Holy Scripture is not a table of ranks and titles.
From whence do we know that Jesus is the Messiah? The King of Kings if not in the Bible. Regardless Peter was an Apostle and there is no indication his ranking was any higher than the others because like you said "the Holy Scripture is not a table of ranks and titles".
That would have been the first time a woman gave birth to a "side".