Green’s Dictionary of Slang

a drunkard all one’s life.

1885		Dundee Eve. Teleg. 22 Dec. 2/2: To be known all ovewr a district as ‘Billy-born-drunk’ is, indeed, a misfortune.
1888		Croydon Advertiser 27 Oct. 5/4: Curiously enough, though he is called ‘Billy born drunk’, I have never seen him the worse for liquor.
1895		People 6 Jan. in Ware (1909) 28/2: He did not have 30 or 40 pots of beer that day. He could do a good many, but he was not going by the name of ‘Billy born drunk.’.
1909		J. Ware Passing Eng. of the Victorian Era.