Okla. Stat. tit. 15, § 15-381: Reimbursement of surety

If a surety satisfies the principal obligation, or any part

thereof, whether with or without legal proceedings, the principal is

bound to reimburse what he has disbursed, including necessary costs

and expenses; but the surety has no claim for reimbursement against

other persons, though they may have been benefited by this act,

except as prescribed by the next section.