Queen the Plague – Queen was a member of MADS, a research team, alongside Vegapunk and Vinsmoke Judge. Probably, at some point, Queen worked for the Government as a scientist that experimented on the inmates.
However, after rereading I’m even more certain of it. What’s Queen’s role in Wano? He is the leader of the prison where he is to attempt to torture and break the people Kaido wants to join his crew. This is also the perfect place for Queen to experiment and create his diseases like mummy.
For a position of breaking individuals, no one is more suited for the role more than someone who would break and experiment on inmates in a government black site.
King the Wildfire – Finally King. I believe that King was once an Impel Down guard who was sent to guard Punk Hazard due to his sadistic habits of torturing inmates. And this fits extremely well with what we see of King.
King has continuously acted as a guard protecting Wano and Kaido and limiting escapes almost like he’s been doing it for a long time.
The Numbers – Finally we have the Numbers. These are the only members that we know were experimented on in Punk Hazard.
I don’t need to go through much sense it’s obvious where they get their name from, Experiment #2 and such. But it does make me wonder, if the Beasts Pirates are a deck of cards, could Kaido be not just the “Ace” but Experiment #1.
*Theory by GreenLanturn73