What if Frank had fathered a child outside his relationship with Monica (like Sammi) but that child ended up growing up wealthy and becoming successful and normal compared to the Gallaghers? Would the Gallaghers still want them in their lives?

Like, Frank knocked someone up, she decided to give their daughter or son up for adoption and they are adopted by a wealthy couple. That daughter or son becomes wealthy and successful as an adult and managed to track down the Gallaghers (for whatever reason) and because of their more stable and loving childhood they are normal but wants to be a part of their family. A "Gallagher."