Hello,
There has often been debate regarding is it Coker, or is it Cachart when reviewing their marks, and whilst I'm hesitant to attempt to contradict agphile I feel that in this case the maker is Elias Cachart.
Although both men registered lobed punches, only Cachart, as far as I'm aware, used pellets, as can be seen from the photo of the struck mark it has two pellets. Cachart was also an extremely prolific maker of flatware, whereas, Coker was more known for his salvers and candlesticks, but of course this does not dismiss the possibility that Coker ever made spoons, but only that he was a specialist in another field and less likely to be a spoonmaker.
Another point always to remember is the registers at London were compliled using ink impressions taken from the presented punches, these often prove to be inaccurate in varying degrees of detail and reproductions of the marks as recorded by Arthur Grimwade and others must not be taken 100% accurate.
Bassett