R.I. Gen. Laws § 33-1-2: Descent of real estate to paternal or maternal kindred.

If the intestate has no surviving parent, nor brother, nor sister, nor their descendants, the inheritance shall go in equal moieties to the intestate’s paternal and maternal kindred, each in the following course:

(1) First to the grandparents, in equal shares, if any there be.

(2) Second, if there be no grandparent, then to the uncles and aunts, or their descendants by representation, or such of them as there be.

(3) Third, if there be no grandparent, nor uncle, nor aunt, nor their descendants, then to the great grandparents in equal shares, if any there be.

(4) Fourth, if there be no great grandparent, then to the great uncles and great aunts or their descendants by representation, or such of them as there be; and so on, in other cases, without end, passing to the nearest lineal ancestors and their descendants or such of them as there be.