Southern Surety Company v. Oklahoma…
“ In other words, the test of the jurisdiction of the state courts was to be the same that would have applied had the Indian Territory been a state when the offenses were committed. In this view it is plain that the prosecution in question was rightly proceeded with in the state court. Adultery is an offense against the marriage relation, and belongs to the class of subjects which each state controls in its own way. It is a punishable offense only where the common or statute law of the state makes it such; and where punishable, it is cognizable only in the courts of the state. ”
