Llamas
A Spanish surname most likely linked to the word for a flame or blaze, and in some cases to place-names with that form.
The #3,275 most common surname in the United States (2010 Census) — about 1 in every 27,997 Americans shares it.
Etymology
Llamas is a Spanish surname that can be tied to the common noun llamas, meaning flames or blazing fire. In older Spanish writing, the word could also be used more broadly for something fiery or intense, which fits the surname’s likely descriptive or place-based origins. Some bearers may have taken the name from a locality called Llamas or from land described by that term.
History
The historical excerpts you provided use llamas as a Spanish dictionary word and also place it among toponymic elements that could give rise to surnames. That makes a locational origin especially plausible, though a descriptive nickname from the image of fire is also possible in some branches. The surname is well established in Spanish-speaking regions and appears in the modern United States through immigration from Hispanic America and Spain.
Origin
Regions
Variant spellings
Fun fact
In Spanish, llamas is the plural of llama, but in surname history it can point to either a fiery image or a place-name rather than the animal.
From the historical record
“Llábana. Laja resbaladiza. Llamas. Las partes mas sutiles de fuego que se levanta a lo alto en figura piramidal. Cuadrúpedos indíjenas de la América Meridional. La eficacia o fuerza de alguna pasion o deseo vehemente. Refran: «Salir de las' llamas i caer en las brasas. »”
— Diccionario de los apellidos