I’m not deep into the lore, but as far as I understand sovcits believe there is a shadow trust (or a corporate entity with their name in all caps) created for every person that the government gets control of at birth when you “register” it. They also believe that certain laws only apply to this corporate entity and not to them as people, and that they can exploit loopholes to get access to this shadow trust to pay for things by telling others to charge bills to their corporate entity (again, name in all caps) instead of to them as people.
I guess she is expecting a new baby to have a new shadow trust for her to be able to pay for stuff with, thus why she wants to make sure she doesn’t “give up control” of it.