I have a Thomas Henshaw & Co, Dublin 20 bore BLNE. It has 28" bbls and .004/.006 chokes.

Short answer: Retailed in Dublin, Made in Birmingham.

Long answer:

The gun was made by G&S Holloway of Birmingham. I have a between the wars Holloway catalog. On the cover the catalog proclaims:"Agents: Irish Free State -- Thos. H. Henshaw & Co. Dublin"
The Irish Free State only existed between 1922 and 1937. The guns serial number starts with a H, only found as a prefix to the serial number of the gun on the under rib of the barrel. The H (for Holloway) is not present on the trigger guard, but the rest of the serial number is.
The gun is No. 710 on page 19 of the catalog. 17 gbp. It was London reproofed in 2002 for 950 bar, 2 3/4".
The watertable is quite crowded with the original Birmingham proofs and the later London reproofs.
I haven't done any looking for Thomas Henshaw and Co. Perhaps I will now.

Joe