I found it eventually by following the Enumerator through Blyth and he went along Belgrave Crescent followed by Twizell Street, Ridley Villa's, Link View Villa, Blagdon Terrace and then along Wensleydale Terrace to the Tile Sheds. I never thought it'd be the Hotel. I had no idea it was a terrace of houses before it became the Gwentland Hotel and then the Ridley Park Hotel after that. Such a shame it was demolished last year, but thankfully, online mapping hasn't been updated yet for that road so I was able to identify the building by the old name board.
I am guessing now, but I suspect that the playing field would have been behind Wensleydale Terrace, rather than on the coarse grass of the Links. I have trawled through all of my maps and through online maps too, but there is no mention of a playing field at that location between 1895 and 1938.
There was at one time an old racecourse for horses nearby, but I doubt that would have been used for football or rugby.
At least we know where the Terrace was for now.
P