Alan suggested that Dr James Trotter had a brother who lived in the Guidepost area. I hadn't heard that but I do know there were several doctors in the family. A short while ago I posted that I'd found, in the 1911 census, one of my relatives working for Dr Robert Samuel Trotter at Brewery house, Front Street Bedlington. I have to report that this wasn't THE Dr Trotter, as later resarch has shown. Dr Trotter of 'monument' fame died in 1899.
However, both he(on the 1891 census) and Robert Samuel Trotter (on the 1911 census) lived at the same adress. I'm assuming therefore that the latter is the son of Dr James Trotter.