I have always thought of gauge as a measurement of wire or tube and not an actual product. There were most certainly a number of Birmingham firms who made tubing. Tube investments on Bromford lane was one.
They seemed to specialise in seamless steel tubing, I think it was extruded. I know they made lighting columns and wire. I have a feeling Stuart and Lloyds also made seamless tube. There was a story of a foreign company sending Stuart and Lloyds a sample of extremely fine tubing to show them how fine they could make it. Apparently, Stuart and Lloyds sent it back with a piece of their own tube treaded down the middle.