K.S.A. 59-508

If the decedent leaves no surviving spouse, child, issue, or parents, the respective shares of his or her property which would have passed to the parents, had both of them been living, shall pass to the heirs of such parents respectively (excluding their respective spouses), the same as it would have passed had such parents owned it in equal shares and died intestate at the time of his or her death; but if either of said parents left no such heirs, then and in that event his or her property shall pass to the living heirs of the other parent.