 In 1849, after the death of his first wife, Connelly married Delores Perea.Perea was the widow of Don Mariano Chaves, one of the governors of New Mexico while it was under the rule of Mexico.She was also the mother of Don Mariano's son, José Francisco Chaves, who served three terms in the United States House of Representatives as delegate from the New Mexico Territory, 1865 to 1871.