I’m not certain we can in good conscience say that anyone was raised by Jake Harley. In the custody of might be closer.
Anyway, Joey seems to believe that Roxy has a home and probably a family elsewhere in the area, but on the other hand I absolutely wouldn’t put it past Jake to house his meteorbaby ward separately from his biological children for no goddamn reason, so I’m not sure that’s really an argument against him serving as her guardian.