Yeah, the Vivre Card that Lola gave the Strawhats is most likely Big Mom's. For now, I think Luffy will go to Whole Cake Island with Pekoms and so he won't need it. Maybe after a little while, the other Strawhats will start to worry about Luffy, Sanji, & Pekoms and then follow the Vivre Card there themselves to play a little game of wedding crashers.
My personal theory is that Lola is sort of a reject daughter who never got married and so Big Mom "kicked her out" so to speak and that is how she ended up around Thriller Bark. Lola is now trying to marry a powerful gentleman with some decent affiliations (such as Absolom) so that perhaps she will be welcomed/accepted back to the family. Pay close attention to the shape of Lola's lips/lipstick design and then compare against those of Jewelry Bonney and Charlotte Lin-Lin herself. You'll be pleasantly surprised at the potential foreshadowing.