Career
She was also cofounder of the national marionette museum Museo Nacional de Títeres (MUNATI) in Huamantla, Tlaxcala. Cueto is one of two daughters of Lola and Gérman, who were also well-known puppeteers. Since 2001 the Consejo Nacional para la Cultura y las Artes (CONACULTA) has carried out annually the national puppetry festival "Festival Nacional de Títeres Mireya Cueto" in honor of her.