Kansas intestate
The following Kansas law applies:
59-508. No spouse, child, issue, or parents. 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.
59-506. Surviving children or issue. If the decedent leaves a child, or children, or issue of a previously deceased child or children, and no spouse, all his or her property shall pass to the surviving child, or in equal shares to the surviving children and the living issue, if any, of a previously deceased child, but such issue shall collectively take only the share their parent would have taken had such parent been living. If the decedent leaves such child, children, or issue, and a spouse, one-half of such property shall pass to such child, children, and issue as aforesaid.
The way it works out in your case is that the property goes to the living sister and the nieces and nephews share the portions that their parents would have gotten if they had lived.
