W. Va. Code § 62-14A-7: How costs paid; complainant responsible for.

When the punishment of the crime shall be the confinement of the criminal in the penitentiary, expenses incurred shall be paid from funds available to the Division of Corrections and Rehabilitation. In all other cases such expenses shall be paid out of the county treasury of the county wherein the crime is alleged to have been committed.

The complainant in each case is answerable for all the actual costs and charges, and for the support in prison of any person so committed; and, if the charge for his or her support in prison shall not be paid when demanded, the jailer may discharge such person from prison.