Does anyone know the name of this Mexican Breakfast / Brunch dish?
Migas possibly?

Scrambled egg fried with strips of tortilla, chopped vegetables, sometimes chopped meats.  Sometimes served with refried beans, that sort of thing.

It is of Spanish origin originally, rather than Mexican - probably the Tex-Mex variant, which is a bit different is what you would encounter.  Rice is included in the recipe in some regions, so entirely possible.