I've heard a lot of people make this assumption, but appart from the fact of being a woman and a strong pirate in the new world, we don't know other connections between Lola's mom and Big Mom.
But, from the few times she has been mentioned, I have the impresion that Big Mom is a bad/cruel person, or at least a very greedy and selfish person. And, I want to think Lola's mother is nice. Still, it could be...
Yes, and it's only my assumption. we never know how will Oda sensei create the full appearance of big mom. Oda-sensei is the master to make everything in One Piece linked with each story, likes shanks who is Gol D Roger crew, Koala from revolutionary army who actually a kids that saved by sun pirates. And also master of surprise just like with Kaido, when I read the chapter about Law tell strawhat crew about Kaido, I thought he is a moster and cruell, sadist type more than dofflamingo but then after Oda sensei made his first appearance I was like... Ha? is that really Kaido?? the beast???... But he was totally far from my imagination.
So I'll just wait untill Oda-sensei draw Big Mom and what kind of surprise he will give us.
You are so right! Oda always goes beyond our imagination... So, anything could happen. I really want to see who Kaido and Big Mom will surprise us :P
who = how* ,sorry
I just rewatch season 10 (Thriller bark arc), after watch it I have a little assumption about lola's mom. I think her mom is Yonkou Big Mom. I made this coz lola said that her mom is a great pirates in New World. It will be a complicated and akward arc if luffy met her and after a big battle she finally know that her daughter were saving by luffy.