W. Va. Code § 9A-4-5: Priority of services.

An eligible veteran who has applied for and received a priority of services designation and who has otherwise met the eligibility criteria for employment training through a federal or state funded program shall be placed in a pool of eligible applicants, ordered on the date of eligibility. If both veterans and nonveterans are certified eligible on the same day, veterans shall be afforded priority in enrollment in the following manner:

(A) First priority shall be awarded to service-connected disabled veterans;

(B) Second priority shall be awarded to other eligible veterans;

(C) Third priority shall be awarded to nonveterans.