Feel free to delete this. Something just occurred to me and I just need to mention that. I hope I don't sound weird going about talking about this. In order I'm going to mention Black Pudding Cookie's (in my headcanon) first encounters with Bacon Roll Cookie and Jerky Cookie.
If Chain Sausage Cookie has association with Bacon Roll Cookie, like for instance, they were members of the same gang, I can only imagine how the fight between Bacon Roll Cookie and Black Pudding Cookie was.
Considering Bacon Roll Cookie is all about blunt force, and Black Pudding Cookie has been noted to be strong numerous times, such as:
During the comics, he uses his sword to block Camembert Cookie's punch.
From Bacon Roll Cookie's quote to Black Pudding Cookie, "Rrgh, why are you so strong!?"
I can only imagine how fast the battle went. Bacon Roll Cookie probably wasn't expecting someone like Black Pudding Cookie to be both strong and fast. As a result, he probably defeated her quickly. He probably realized what her one weakness was and used it to his advantage in battle. He did just enough to get her to stop fighting him, rather than to actually hurt her.
As for Jerky Cookie... I'm going to assume that, like I mentioned earlier, he fought a bunch of grave robbers at a mansion, went to investigate what they were robbing in particular, and found Jerky Cookie. Assuming that Bacon Roll Cookie was there with Black Pudding Cookie when he found Jerky Cookie, those two were the first Cookies she saw upon waking up. However, the very first Cookie she saw was Black Pudding Cookie.
She doesn't like being disturbed from her sleep, so she starts attacking with her talismans, assuming that Black Pudding Cookie and Bacon Roll Cookie were grave robbers. Bacon Roll Cookie went out first, because she's all about blunt force with her hammer, but when a talisman touched her or her hammer, it wasn't long before she was out of the battle.
Which can explain why Black Pudding Cookie knows how to count Jerky Cookie's talismans, and not Bacon Roll Cookie.
This is the part I was a bit unsure of, but Black Pudding Cookie soon realized (pretty much immediately) that this is a child, and instead of hurting the child, he simply decides to tire her out. Upon tiring her out, she complains that she's hungry, and he simply offers her a dumpling. This is when she realizes that Black Pudding Cookie isn't trying to hurt her.
I headcanon that Jerky Cookie positively associates dumplings with Black Pudding Cookie, because that was the first thing he offered to her.
I know this makes 0 sense, sorry for this random wall of text.
Nah it's all good, I really like the idea. Especially about Chain Sausage, really hoping that Bacon Roll and them knew each other. Because if Her and Black Pudding took down that organization that means Chain Sausage has either been on their own or has joined another crime organization.
I love the fact Jerky Cookie got taken in by just coaxing her out of perhaps a fit of anger of her home (her grave) being desecrated, by giving her dumplings.