Maria - According to the 1994 census, Mary was the most popular women's name in the United States. Its Spanish version, Maria, wasn't far behind in seventh place. It's worth noting that versions of the name Mary appear in almost every country of the world, including Máire and Màiri from Ireland and Scotland respectively, and Mare in Croatian.
Teresa - While the name Teresa is originally considered to be of Greek origin, it's also one of the commonly used Spanish names that crops up in both Spanish speaking countries and the United States. The modern convention of "alternative spellings" in English names makes it almost impossible to guess how people expect you to pronounce their names, but there's a fair chance that when Teresa is spelled this way it is meant to bear a Spanish pronunciation, "Teh-RAY-sah."
Rita - The diminutive form of the Spanish-language "Margarita" (a woman's name, not the alcoholic drink), Rita is now in popular use in the United States, coming in at 104th place compared to other women's names.
Dolores - This popular women's name literally translates to "of sorrows" or "of pains" in Spanish. You might also encounter it in its less common alternate spelling form, Delores.