Which is why I said "there is one mistake about Teach being in Wb's crew before Roger's death, which is important." Good job on not reading my post while quoting it.
To explain again: In the picture you posted, Roger is the Pirate King, he found Raftel, his crew is disbanded and Shanks isn't a pirate. Like I said, I think that Teach joined Whitebeard after his fight against Shanks which means he probably joined not so long before the timeline of this picture. And it may surprise some people but Teach isn't born in WB's ship.
My fault. I was thinking "Meeting -> Disbanding", I didn't considered the posibility of the meeting taking place during the disbanding.