I know a bit about these types of watches, having inherited one and restored it, though I'm hoping that someone who knows more will come along and fill us in with more detailed knowledge.
Just searching for "Jno JONES, 338 Strand, London" turns up a couple of results, most illustratively for another watch of his, presumably quite similar:
Nicely detailed silver crystal (flat glass) case hallmarked London 1868, casemaker AT (Alford Thickbroom, Clerkenwell). Capped fullplate fusee movement engraved for Jones. Single-roller detached lever escapement. Steel balance, spiral balance-spring. Perfect one-piece enamel dial signed for both Jones and its Indian retailer. 50 mm diameter.
John Jones (1815-1909), 338 Strand, London, a most influential if now little known watchmaker who played an important part in the founding of the British Horological Institute in 1858. His 1870's stationery shows him as maker to HM the Queen, the Emperor of Russia, the Khedive of Russia and the Indian Government, as well as the East Indian, the Great Indian Peninsular and Other Railways. See also the important article on him by Alan Shenton in
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