Raimey,
This gun was made during a period when some stopped using Belgian steel ( Cockerill ). From about 1900 to 1920 ( very rough range ) FN & Pieper were using only Seimens-Martin for their fluid steel barrels. Francotte was heavily tied to FN, so I suspect he followed suite. After about 1920 we start seeing the familiar Acier Cockerill again. The museum curators estimate that except for this brief period, 95% or better of all fluid guns produced in Belgium were by Cockerill.
So, if you are looking for the owner of that deeply stamped H, while it could be Max Neumann, I would look towards Germany.
Pete