Because the cosigner isn't an account holder, they have no way of knowing your account is in peril right away. You'll have to keep them informed of the situation if you want to spare you both from damaging your credit in the long run or facing potential legal action. They do, eventually, receive notice, and when they do, you may be putting them in a position to have to scramble to make the payment.
Alternatives to cosigners
If you need a cosigner but cannot find someone who will agree to be that person for you -- or you've been asked but are unsure you want to do it,-- other options are typically available. For instance, for many lenders, providing a larger down payment can mitigate the risk.
As a potential cosigner who is unsure they want to take on that risk for the loan's lifetime, providing that down payment in a legal and traceable way for the lender may be a safer route for you. You can even offer apartment owners a much larger deposit if you have it on hand rather than cosigning for a child.
As someone who needs a cosigner, you may simply have to go back to the drawing board and work on your credit for a while. Pay all your payments on time, carry a very small balance on your credit cards, and check with reporting agencies to see whether you can include utilities or apartment rent in your credit file.