I have a 7 in Chapman brace that looks very similar, including those distinctive rings on the handle and head. It does not mention the registered design model, but "manufactured by J A Chapman Sheffield - England" is marked on the chuck, and "steel 7in" on the frame.
I did do a bit of research in to Chapman when I got my brace, but I could not find much in addition to what is I think fairly well known - namely that James Chapman was a manufacturer of "American Pattern Braces" with a factory called Industry Works in Woodside Lane, Sheffield and that the firm was taken over by Stanley in 1936/1937 so they could begin manufacturing in England.
Stanley's move was perhaps in response to punitive import taxes (10% on most goods in the 1930s) and due to competition from local firm, C&J Hampton (of Record fame) who were able to start copying Stanley's bailey planes after Stanley's patents expired at the start of the decade.
There is a rather poignant set of pics of the now abandoned factory here - my favourite pic is of Stanley's map of the world where the UK has apparently fallen off:
http://www.28dayslater.co.uk/stanley-tools-sheffield-june-2012.t71769
From the 1871 census it seems James Arscott Chapman was 43 and is living with his family in Woodstock Lane. His occupation is described as
Engineers Tool Maker, and although it is hard to read it appears to say 'employing 4 boys'. He appears again in the census for the last time in 1891 and seems to have died later that year.
I also requested a copy for the design registration, hoping I would get a copy of the drawing for the design registered, but disappointingly I only got a copy of the record itself. I think the design is for the grip on the chuck - what do you say, Geoff?
If I am right about the records then the design was registered by his son.
brace:
Census 1871:
Census 1891:
births marriages and deaths 1891:
design registration: