I just found this in a 4 year old article on 2" guns and with the expected emphasis on Skimin and Wood.
J. & W. Tolley No. 84040 (pictured here) belongs to the Birmingham Gun Barrel Proof House museum collection and is a prime example of its type. It was no doubt built by Skimin & Wood, which in 1929 had acquired gunmaker Holloway & Naughton, which itself had taken over Tolley sometime around the First World War. Proofed in 1934, the Tolley was presented to Birmingham Proofmaster Lt. Col. Charles Playfair and, although it was re-proofed in 1984, it remains in almost-unused condition.
Strictly going from serial numbers, this lends credence to the 1925-1929 time frame for my Tolley.