Martha is the daughter of Carmelita Vigil Dunlap and mother of Erik Sunbird Fender.
She was taught by her mother and by her aunts, Maria Martinez and Deisderia Montoya. She sometimes collaborated with her half-brother Carlos Dunlap.
Martha is of San Juan and San Ildefonso heritage.
She has been an active potter since 1970 and is known for her green-on-red pottery in the style of her Uncle Tse-Pe.