Hi Mike
I've been searching for at least 5 years. The search was stalled at first because he said on the census he was born in Hammersmith and it took me a while to disprove that. When I eventually cast the net wider and discounted several others along the way I was left with Robert West Welch.
I would love it to be him because my tree is pretty average and his father, an illustrious naval commander, would spice it up no end. However it just seems so unlikely as the families are so different. My Robert Welch obviously did have some education as he was a clerk to a house agent in 1861 census. But he doesn't seem to have left a will and his widow seems to have ended up dying alone in the parish relief office at Dalston 5 years after his death so he can't have left her well provided for, yet his supposed father was a RN Commander with a string of medals including a gold one! I suppose it is possible that if he was Robert West Welch he fell apart after the death of his first wife and although picked up and dusted down by Elizabeth (who had already had 2 husbands die on her) he never recovered. Or maybe it was due to illness, he was paralysed for 3 years prior to his death in 1885.
I feel it needs more proof but don't know where to go next. Only thought of the signature thing this morning and they do look very alike, but writing styles were not very diverse in those days.