 Eliseo was one of three musical brothers, all composers, the others being Emilio ("'Neno'," 1901–1941) and Ernesto (1908–1981).Emilio went on composing even after having a leg bitten off by a shark in 1930; Ernesto was a drummer who became leader of the Tropicana's orchestra.Eliseo studied music under Mercedes Valenzuela and Leandro Simón Guergué, the father of Moisés Simons.