Since your aunts elected not to lease, and since you inherited the unleased interests, there really isn’t much you can do. Once the Company has recouped their drilling cost (plus any applicable risk penalty), you will then participate for your share of whatever is left of the well.
Try to look at it from the Company’s point of view. Letting you back into the well now would be akin to letting you bet on a horse after he race is over. I’m not saying that was your intent, but from the Company’s point of view, it just doesn’t make any sense.