According to the 1900 census of Webb County, TX, Eugenio was born November 1849 in Texas; Barbara was born September 1853 in Texas.According to the death records of their children, Eugenio and Barbara were both born in Laredo or Encinal, TX.
Children of Eugenio Garza and Barbara Nieto:
Marta Garza de Garcia, b Encinal, TX 9 Apr 1875, d Laredo, TX 3 Apr 1946, buried in Encinal, TX (per death record)
Martin Garza, b Oct 1876 (per 1900 census)
Maria G. Padron, b Laredo, TX 1880, d Asherton, TX 2 Mar 1958, buried in Asherton, TX (per death record)
Fina Garza, b June 1884 (per 1900 census)
Antonio Garza, b Laredo, TX 15 Oct 1885, d Jackson, TX 11 Apr 1957, buried in Inez. TX (per death record)
Juan N. Garza, b 1885, d Asherton, TX 10 Oct 1949 (per death record)
Gregoria Garza, b Apr 1888 (per 1900 census)
There is a baptism record for one Mariam Epiphaniam Garza, baptized 27 Apr 1880, San Agustin Parrish, Laredo, TX.I am inclined to believe this is the same Maria G. Padron whose death record is listed above.