I might as well add this minor note there> I've just come across a reference to Stockton Crossing Halt, on the Warminster-Salisbury line, said to have been "opened after 1907, this was a private station for the use of workmen" and to have been closed after July 1915. This may have been a short-lived facility for the benefit of workers or troops at Stockton and Sherrington, where there were tented camps late in 1914, with the soldiers going into billets towards the end of the year.
During the Great War "Sir John Jackson specials" ran between Codford and Salisbury carrying Jackson workmen who built hutted camps in the locality, but not many - if any at all - would have been needed at Stockton and Sherrington. A local rail historian had not heard of it, but is canvassing colleagues. A Web search leads only to the name in lists.
I've discussed Stockton with a local railway historian, who has conferred with others, but with no results. He mentioned Upton Lovell Crossing, which prompted me to search my notes,that had this summary of a National Archives file:
On March 14, 1915, an agreement was signed by the
GWR▸ and Sir John Jackson's company for the former to provide workmen's trains between Salisbury and Warminster, one a day in each direction, calling at all stations and Upton Lovell Crossing; the contractor would provide metal discs inscribed "Workmen's train Salisbury Codford to Warminster" and would pay the GWR "in respect of any works incidental … to the use of the Crossing for purposes of the said train and the access to and from the same to and from the public roadway", and also the expenses of a uniform, stores and wages "for a man to supervise the entraining and detraining of workmen to the said level crossing and of a signalman and other workman … to protect the said crossing". (NA file: RAIL 252/1800)
One might guess that there was a similar, short-lived arrangement at Stockton, with no platforms at either crossing.