Since you are asking about the original owner of this home, the tax records won't get you very far. Try the El Paso Historical Society Research center. The home was built in 1912 so check the city directory for 1912 through about 1915 and that should do the trick.
The Jane Burges Perrenot Research Center
603 West Yandell
El Paso, Texas 79902
P: (915) 533-3603
The Jane Burges Perrenot Research is open to the public:
Tuesdays and Thursdays, 9:00 a.m. - 4:00 p.m.
Friday, 9:00 a.m. to 3:00 p.m.