R.I. Gen. Laws § 33-1-3: Descent when no paternal or maternal kindred survive.

When in this chapter the inheritance is directed to go by moieties to the intestate’s paternal and maternal kindred, if there are no such kindred on the one part, the whole shall go to the other part; and if there are no kindred either on the one part or the other the whole shall go to the intestate’s surviving spouse or if the spouse did not survive the intestate, it shall go to the spouse’s kindred in the like course as if he or she had survived the intestate and then died entitled to the estate.