Mateo Trujillo has been linked to be a son of Cristobal "El Viejo" Trujillo through census and land records. This linkage is what is considered an indirect linkage, because there is never any sources available that directly mention Cristobal "El Viejo" Trujillo as the father of Mateo Trujillo. This was not uncommon in early spanish New Mexico settlement records.
Before providing the information that links Mateo Trujillo to Christobal "El Viejo" Trujillo, it needs to be stated that there were two early waves of settlement into New Mexico.
The first settlements began in 1598, when Juan de Onate came from Mexico City with 200 settlers and soldiers, and 7,000 livestock. The first settlement was not in Santa Fe, but in San Juan de los Caballeros, which was a small valley near a tributary of the Rio Grande river, named the Chama River. This was considered the capital of New Mexico, but the settlement did not lend itself well to the settlers, and was vulnerable to attacks by the Indians. The capital was moved to the west bank of the Rio Grande and the new capital was named San Gabriel, where it remained until it was moved again in 1610 to Santa Fe, at the base of Sangre de Cristo Mountain range, which offered better protection. The Spanish were driven out of New Mexico in 1680, a result of the Indians joining forces, where they remained in power until 1692.
The second settlements began again in 1692, when Santa Fe was retaken by Diego de Vargas.
Mateo Trujillo was listed with the group of settlers that passed a muster after fleeing New Mexico in 1680. In 1681 Mateo Trujillo reported in a muster that he was a native of New Mexico, age 25 or 26, and married. This placed his birth year circa 1654-1655. In 1693 Mateo Trujillo returned to New Mexico with wife Maria Tapia. The point of listing this info was to point out that being born in New Mexico in 1654-1655 meant that his parents were also already there. We know that Cristobal "El Viejo" Trujillo was also there at this time. This just gives some preliminary information when linking many of these Trujillo families.
Step 1 was to find a record that mentions Mateo as a family member. In this case, it was his nephew, Lorenzo Trujillo, who stated in the attached land document, that he was providing power of attorney to his uncle Mateo Trujillo, to sell the land.
The record is listed under: New Mexico, U.S., Land Records of New Spain, 1692-1916, Collected Spanish Land Files, Serial 10276 Items 1031-1075, Record #1034, 31 March 1724. Conveyence. Lorenzo Trujillo, through power of attorney of su tio Mateo Trujillo execute a conveyance of land of a rancho in Santa Cruz to Pedro Vigil, executed in Santa Fe.
Step 2 was to find Bartolome Trujillo as the son of Cristobal "El Viejo" Trujillo. This was found in the following reference: Chavez, Angelico. "New Mexico roots ltd : a demographic perspective from genealogical, historical and geographic data found in the diligencias matrimoniales or pre-nuptial investigations (1678-1869) of the Archives of the Archdiocese of Santa Fe : multiple data extracted and here edited in a uniform presentation by years and family surnames." (1983). https://digitalrepository.unm.edu/cswr_reference/5. The section this was listed under was Trujillo, page 1924, and translated as follows: 1681, April 16 (no. 4), Corpus Christi de Ysleta. Bartolome Trujillo and Maria Archuleta. - Witnesses: Pedro de Avalos and Jose Lopez de Ocanto (19). (Incomplete. -Marriage deferred until following year?)
1682, April 2 (no. 9), Corpus Christi de Ysleta. Bartolome Trujillo, n. of New Mexico, son of Cristobal Trujillo and Maria Sandoval, and Maria Archuleta, n. of New Mexico, d. of Capt. Juan de Archuleta and Maria Lujan living in Corpus Christi de la Ysleta. -- Witness: Pedro de Avalos (25), married.
Step 3 was to link Lorenzo Trujillo to his father Bartolome "Bartolo" Trujillo. Lorenzo was noted with Bartolome Trujillo on the 1692 census taken by Diego de Vargas in late 1692. Lorenzo was noted as age 3 and his sister Sebastiana age 13. Lorenzo should not be confused with an orphan boy, also named Lorenzo, age two, who was residing with the parents of Bartolome.
So far this is the extent that I have gathered to prove that Mateo Trujillo was the son of Cristobal Trujillo, plus the circumstantial evidence that the known children of Cristoabal "El Viejo" Trujillo were located very close to Mateo Trujillo. I will keep looking for further info, but I am satisified in placing Mateo Trujillo as a son of Cristobal "El Viejo" Trujillo.