This is not my family - but this may be of help to you.....
Based on death records on pilotfamilysearch:
Herculano or Erculano Pompa (son of Jesus Pompa and Juliana Gonzales both born Villa de Mina, Nueva Leon, Mexico)
born about 1859, Villa de Mina, Nueva Leon, Mexico
married Maria Mata (born 24 Jan 1856, Mexico; died Aug 21, 1912 Laredo, Webb Co TX; parents: Anastasio Mata and Andrea Martinez both born Mexico)
died May 25, 1922, Laredo, Webb Co TX
Buried Catholic Cemetery, Laredo, Webb Co TX
Children based on death records for Laredo:
1.Teresa; born 1878; died July 28, 1946, Laredo; married --- Martinez
2.Irmes; born June 12, 1880, Villa Mina, Nueva Leon; died Dec 1926 Laredo
3.Romana; born 1884, Villa Minas, Coah., Mexico; died Dec 13, 1955 Laredo; married --- Alfaro
4.Eusebio; born 11 Sept 1888 or May 5, 1888 Mexico; married Leonarda de Leon; died 27 Oct 1952, Laredo; WWI draft card shows medium height, medium build, dark eyes and hair.
5.Brigida; born May 20, 1894, Mexico; died May 23, 1911, Laredo.
I am guessing you believe that Erineo/Ireneo/Irinio was a brother of Eusebio - I do not see a death cert for Eusebio though.
Erineo (also spelled Irineo and Ireneo) Pompa,
born Mina, Nuevo Leon, Mexico
married Dolores deLeon (born 1898; died Aug 19, 1962 Laredo; daughter of Eusequio deLeon and Felicitia Moreno)
died before 1962 as Dolores was a widow when she died
1.Juan; born June 26, 1909, Mexico; died Dec 3, 1970 Laredo; married Narcisa Gonzalez
2.Ricarda; born 1907 Coah, Mexico; died May 11, 1933, Laredo
3.Nieves; born Aug 6, 1911 Laredo; died Aug 13, 1911 Laredo
4.Luis; born June 27, 1913, Laredo; died Mar 2, 1916
5.Rosa; born ca 1920; Laredo; died Feb 11, 1940, Laredo; married Manuel Ruiz.
Juan Pompa; (son of Erineo Pompa and Dolores de Leon)
born June 26, 1909, Mexico
married Narcisa Gonzalez (born Feb 24, 1907 Lampasos, Mexico; died Oct 26, 1953 Laredo; parents: Genaro Gonzalez and Micaela de Anda both born in Mexico)
died Dec 3, 1970, Laredo
1.Benita; born 21 Mar 1934 Laredo; died 4 Aug 1934 Laredo
2, 3.Ramon and Bruno - twins - born and died the same date: born 6 Oct 1936 Laredo and died 14 Jan 1937, Laredo
4.Apolonio; born 10 Apr 1935 Laredo; died 9 April 1936 Laredo.
Eusebio Pompa; age 23; born Villa de Mina, Nueva Leon; 5'4", dark eyes, black hair; arrived in Fort Laredo TX 6-9-1910. Last residence Candela Mexico
Teresa Pompa; born about 1878; last residence Candela, Mexico; destination Laredo, TX. 10/2/1910.
Trish in TN