Lewis & Short

Branchĭdae, ārum, m., = Βραγχίδαι, the posterity of Branchus, a son of Apollo, hereditary priests of the temple and oracle (penetralia Branchi, Stat. Th. 8, 198) of Apollo at Miletus, Mel. 1, 17, 1; Plin. 5, 29, 31, § 112; Curt. 7, 5, 16; 7, 5, 30; Amm. 29, 1, 31.
Sing.: Branchĭdes, ae, m., a surname of Apollo, Mel. 1, 17, 1.