@Baja_Costero, thanks so much! I see now that there are two forms of E. ingens, the standard and a weeping form. I took photos of another one that has the standard form:
@mcvansoest, thanks for the ID of Cylindropuntia ... looks right for that genus. I'll put my photo in the general database entry since I can't be sure of the exact species.
~ I'm an old gal who still loves playing in the dirt!
~ Playing in the dirt is my therapy ... and I'm in therapy a lot!