On June 28, 1962 At Dodger Stadium, Los Angeles brings reliever Larry Sherry in to pitch in the 8th inning with brother Norm Sherry behind the plate. Larry goes two-thirds of an inning and is lifted, and the Dodgers top the Mets, 5 – 4, in 13 innings. The Sherrys are the first brother battery since the Baileys started for the Redlegs in 1959.
Source
Baseball Reference June 28