Hi Paul the ERO have a very poor collection of newspapers,the Chelmsford Library has a great collection of Essex Chronicle which starts in the late 18th cent but this will not cover Barking,the reason I know about the Romford Times is that somebody else some time ago wanted a article about the death of a relative and also knew it had been in the Times,this led to a search in which I tried to locate a copy ,the newspaper archive at Collingdale is the only place they are online and I think for about £7 will I believe send you a copy of article or maybe the entire paper,the other thing I found out when moaning to the librarian at Colchester Library that I thought it wrong that ERO ,Colchester and Chelmsford did not have copies of this paper ,he said it was possible they could get a copy from Collingdale I suspect itwould not cost to much doing that way,if I remember the paper was a weekly so if you have a death date it should point to one issue,another point about Barking is that it once had a large fishing fleet so deaths from drowning happened as the vast majority of people could not swim.
Best Regards