Okla. Stat. tit. 19 § 84
If two-thirds of all the votes cast in the county at such special election shall be in favor of any city, town or place, other than the county seat, then such city, town or place shall thereafter be the county seat; but if more than two towns or places are voted for, and no town receives the requisite proportion of all the votes cast, then all names of towns or places voted for on said ballot except the two receiving the greatest number of votes shall be dropped; and the Governor shall, in like time and manner, cause to be called and held a second election at which only two towns or places shall be voted for, and if any city, town or place other than the county seat shall receive the requisite proportion of the votes cast at the second election, such city, town or place shall thereafter be the county seat; otherwise the county seat shall remain unchanged.
Okla. Stat. tit. 19, § 84