Netanel, King David is a perfect example. His G-g-g-g-grandmother was Ruth, a convert.

So a convert to Judaism (maternal) is in the blood line of not only Kings David and Solomon, but WILL be the blood line of the much awaited messiah.

This makes it very clear that a convert to Judaism is a JEW and their children are Jews.

סופי

And everything that Sarah tells you, listen to her voice. Bereshit (Genesis) 21:12