Iramain was born in Santiago del Estero (Argentina), son of Agustín de Iramain and Josefa de Santillán. His father born in Potosí, had arrived in the city of Santiago del Estero about 1750. Iramain was married twice, first to Paula López de Velasco. And second with Pascuala Bailona Díaz Gallo, sister of Pedro León Gallo, one of the signatories of the Argentine Declaration of Independence.