IF you are fostering to adopt, the first thing that comes to mind is that counties do not allow homeschooling of foster children. They must be enrolled in public education.(at least in ohio) But once adopted they are yours. You can make all decions concerning thier health, education, ect.
And as far as financial stabilty in goes, the only thing is you must be able to prove that you make enough money to pay all your own bills. The homestudy for a public agency doesn’t ask anything specific about providing for the adopted child at a certain level. They do ask for proof of income and a copy of current bills.
hope this helps