According to Tess Knighton (1999-2002), vol. 1, pp. 170-171: "La identificación del compositor Alonso de Alba, a quien se atribuyen varias obras religiosas y al menos una canción, se complica por la existencia de dos candidatos posibles: un capellán real y un M[aestro de] C[apilla] sevillano."
He joined the music chapel of Isabel I of Castile on 1 January 1499 and, after the death of the Queen in 1504, he continued at the service of Fernando V of Aragon at least until 1511 together with his brother Alonso. Three works attributed to "Tordesillas" in E-TZ 02/03 could be attributed to him or his brother; see Alonso Hernández de Tordesillas. Moreover, works ascribed to "Pedro Hernández" in E-TZ 02/03 and E-Mp 1335 could be by Pedro Hernández de Tordesillas or by other musicians with similar names: Pedro Fernández de Castilleja, Pedro Fernández de Yepes (fl. 1477-1519) and Pedro Hernández († 1505). In March of 1520 Alfonso wrote to Charles V on behalf of his brother Pedro asking for a chaplancy in Soria, arguing that he had no income.