The story of Family begins with the unlikely reunion of a married couple who once made remarkable music together but then didn’t speak to each other for years. Richard Thompson is one of the world’s great guitar players, with sly songwriting skills and a sharp British baritone to match. Linda Thomp­son is a revered vocalist from the same folk-rock movement that launched Richard, her ex-husband. Together they recorded Shoot Out the Lights, the acclaimed 1982 album that chronicles their acrimonious split as much as it shows a duo at a peak of their creative powers.

They’re together again, at least in the studio. And every note of Family is performed by the family—not just Richard and Linda but also a brood of musical children, extended family, and even one grandchild. The project may be a bit disjointed, but it’s also intimate and musically engaging, with many of the songs fit for the clan’s next bonfire.

Family is produced by Richard and Linda’s son Teddy, himself an established musician, and he spells out his dilemma on the opener and title track: “My father is one the greats to ever step on a stage / My mother has the most beautiful voice in the world / And I am betwixt and between / Sean Lennon, you know what I mean.” This could sound mawkish but it doesn’t, given the stripped-bare, bittersweet musical setting.