I am an Abeyta that lives in Northern California. From little of what I know my parents come from El Paso Texas and new mexico. There were 7 brothers that came from the Basque country and settled in El paso, New mexico and Colorado and parts of California. I do know some names; Look at list below. We do have information on the abeyta's dateing back to the 1600's.
Matias Leandro Abeyta kids: Jesusita Guillermo Dolores Ana Felipa Emilio Jose Esteban Roman
Guillermo Abeyta kids: Guillermo Salvador Maximo Roberto Josephine Matias Carlos I Gustavo Carlos II
Juan De Abeyta kids: Jose Antonio Maria Manuela
Jose Antonio Abeyta kids: Cornelio Juan Pablo
Cornelio Abeyta kids: Jose Martin Jose asuncion Jose Franco Xabier
If any of these names look familiar you can contact me by email firstname.lastname@example.org