Okla. Stat. tit. 21, § 1158
The duty of burying the body of a deceased person devolves upon the persons hereinafter specified:
1st. If the deceased were a married woman, the duty of burial devolves upon her husband.
2nd. If the deceased were not a married woman, but left any kindred, the duty of burial devolves upon any person or persons in the same degree nearest of kin to the deceased, being of adult age, and possessed of sufficient means to defray the necessary expenses.
3rd. If the deceased left no husband, nor kindred, answering to the foregoing description, the duty of burial devolves upon the officer conducting an inquest upon the body of the deceased, if any such inquest is held; if none, then upon the persons charged with the support of the poor in the locality in which the death occurs.
4th. In case the person upon whom the duty of burial is cast by the foregoing provisions omits to make such burial within a reasonable time, the duty devolves upon the person next specified; and if all omit to act, it devolves upon the tenant, or, if there be no tenant, upon the owner of the premises where the death occurs or the body is found.
R.L. 1910, § 2453.