You can see that directly in English where we use Germanic words for animals in the field (Cow/Kuh, Swine/Schweine usw), while on the table we use the romance words (Beef/Boef, Mutton/Mouton etc). This is commonly believed to reflect that after the Norman invasion the aristocracy used French words in their homes while the conquered peasants retained their old language among themselves. And indeed in both German and French (and pretty much everywhere else) the same word is used in both contexts.
You can see how this can lead to the higher level words (law, religion etc) being in the non-peasant's language, even as the peasant language leaks into the creole (e.g. earl/carl vs compte).
Finally different languages use different approaches (at various times) to clone new words, hence the German Fernsehe ("distance see") in English is a Frankenmelange of greek and latin television (gk "far" + lt "see")
Don't forget that Spanish also had a strong admixture of arabic, hence words like algodon (lost the article to become 'cotton' in English).
So it's not Spanish influence, per se, but its similarity to French as a Romance language.