The records in Preston are likely to be the only ones available. After the revival of the Volunteers in 1859 they came under the Lord Lt of the county rather than the War Office, so surviving records are not held in the National Archives.
The 12th Lancashire Artillery Volunteer Corps had (in 1873) their headquarters at 28-32 Mason Street, Edge Hill, Liverpool. They would meet weekly so their members would live nearby. The 17th LAVC were next door at 34-36, and the 4th LAVC were at No. 52.
Ken