Firstly, your thumbnail images enlarge very little when clicked on. This is a problem for some viewers, including me, when attempting to look at Photobucket links or thumbnails. Embedded images up to a max. of 7" would be appreciated and hopefully would increase the chances of a positive response.
Presuming that it is the mark of Anthony Hedley, then there are some facts to back to back up the likelihood of it. He was known to have made saltspoons (assay listings), and he was known to do Bright Cut work (newspaper advertisement).
Looking at the figures recorded for his assay submissions, it appears perhaps that he may have paid lip service only as to the assaying of silver to the Newcastle Assay Office, with some years entering zero submissions for silver (although every year he always submitted gold) and his most productive year, 1793, being just 65 oz.
So, the question is, was he just a small time worker in silver, or did he not have much of his work officially hallmarked? An advertisement that appeared in the Newcastle Courant on the 6th October 1792 reveals all:
'... on Tuesday the 2d day of October, inst, at Wolsingham Fair, in the county, was stolen from Mr Anthony Hedley, of the City of Durham, Silversmith, a pair of saddle-bags, containing several articles after specified; ...one other gilt watch, number not known, maker's name "Anthony Hedley, Durham".....Eight silver table spoons, four plated ditto, one dozen and half of cut silver teaspoons - Two dozen and a half of plain ditto - Eight pair of carved tea-tongs - Six pair of plated ditto - One pair double chape - Silver shoe buckles, open worked diamond cut - Three pair of smaller ditto single chape, diamond cut - One pair of ditto, open worked, plain tops, round corners - One pair of ditto plain threaded pattern, round corners - Two pair of plain ditto, square corners - One pair of plain ditto, round corners - Two pair of silver knee-buckles, bead pattern - Two pair of ditto, square pattern - One pair of round ditto; and six pair plated spurs. Whoever shall apprehend the person or persons, who stole the said goods, or shall be the means of their being apprehended shall receive a reward of Five Guineas from the said Anthony Hedley..........
Source: A Directory of Newcastle Goldsmiths - Margaret A. Gill
Headley's submissions for 1792 were a mere 11 oz. But I suppose if he was quizzed regarding the loss, he could have said that he was on the way to the assay office!