Your gun is a VH if it has plain extractors or a VHE if it has automatic ejectors. From the January 1, 1927, Parker Bros. catalog --
VH, VHE January 1, 1927 catalog.jpeg
Jan. 1, 1927 Retail Price List.jpeg
The VH/VHE is the most common Parker Bros. shotgun, with some 78,659 produced according to the tables in
The Parker Story, 51,901 in 12-gauge.