Joseph Not Father of Y’shua is shown right away as Matthew announces the birth of Y’shua.

Matthew 1:12. After the Babylonian captivity Jeconiah begat Shealtiel, and Shealtiel begat Zerubbabel, 13. and Zerubbabel begat Abiud, and Abiud begat Eliakim, and Eliakim begat Azor, 14. and Azor begat Sadok, and Sadok begat Achim, and Achim begat Elihud, 15. and Elihud begat Eliazar, and Eliazar begat Matthan, and Matthan begat Jacob, 16. and Jacob begat Joseph, the husband of Miriam, of whom was born Y’shua, the One called Messiah.