Short answers, pulled from the story.
Francis Harrison Pierpont was elected governor by the Restored Government of Virginia. He and other officers convened based on local petitions rather than being elected by the general public.
West Virginia became the 35th state on the 20th of June 1863. President Lincoln signed the statehood bill into law on the 31st of December 1862 after Congress gave consent on the 13th of May 1862.
Governor Francis Harrison Pierpont moved the government from Wheeling to Alexandria effective the 26th of August 1863. Alexandria remained under Union control since May 1861 and sat across the Potomac River from Washington.
The legislature voted to adopt the Thirteenth Amendment to the United States Constitution on the 9th of February 1865. The Restored Government adopted a new Virginia constitution in 1864 which recognized West Virginia's creation and abolished slavery.
Daniel Polsley served as lieutenant governor from 1861 to 1863. Leopold Copeland Parker Cowper took office as lieutenant governor from 1863 to 1865.