This is probably a red herring and nothing to do with the lost watch. Anyway, I found this... It is notice of the marriage of an Edwards in Australia, but it mentions Edwards, a jeweller and watchmaker.
Australian News (Melbourne Vic 1876 - 1889)
Wednesday 23 Jan 1879.
Edwards - Watson: "On the 8th Nov, by the Rev W.I. Blamires, Wesleyan minister, at the residence of the bride's mother, No 4 King William St, Fitzroy, Charles Thomas Edwards, eldest son of James Benjamin Edwards, jeweller and watch maker of Talbot, and the grandson of B Edwards, jeweller,, Shoreditch, England, to Elizabeth, the eldest daughter of the late Samuel Watson, of the Deer Parks, Omagh, county Tyrone, Ireland."
It might be that the watch was bought in Australia, from an Edwards jeweller's shop in Australia, but was imported from Shoreditch, London, and this may be why the watch is Edwards of London. Just thought you would like to see this. But as I say, it might mean nothing to you at all.