The phrase "familial connection" refers to a relationship between family members. It means that there is a bond or tie between people who are related to each other by blood or through marriage. Full definition
Half of WWE's roster has some sort of familial connection to the business that got them involved in it. (sbnation.com)
And it is all the better for it: you can expect a band of rebels in conflict against an empirical force, political backstabbing, and scandalous familial connections between protagonists and villains. (pcgamesn.com)
«Responders have often used DNA to make familial connections, but the process typically takes multiple days to process in a forensics laboratory and can take up to a few months to get the results,» explained S&T Homeland Security Advanced Research Projects Agency (HSARPA) Resilient Systems Division (RSD) Program Manager Chris Miles. (sciencedaily.com)