Not necessarily, if I understand what you are asking.It could be that there is more than one line (from Spain) or could even be from another country - like Portugal, or some other.The name be be something other than Ponce in the original country - and just sounded like Ponce.
Are you familiar with the order of Spanish surnames?ex. Ambrosio Jose Carabo y Rotger
His fathers surname is Carabo and mothers is Rotger
You need to follow back each generation - and "prove" each ancestor.Like a baptismal record in Guatemala might say that "Maria Ponce" was the daughter of "Lorenzo Ponce and Ana Mus".So now you know who Maria's parents are- and you may want to get info on other children of "Lorenzo" and "Ana".......then you work on "Lorenzo" and find their marriage - sometimes this will list each of their parents if it is a Church record - then you have more new info to hunt with.
At the point that the Church can't find any more on that family or parents or grandparents - you need to check ship records, or immigration info - to see if that is when they arrived in Guatemala - or did they just move within the country and you need to search another Church's records.