As I understand it, Wolfgang's site & song above are about an 1898 disaster involving the SS Greenland. Barry's song mentions that event, but focuses on the SS Newfoundland in 1914.
So, you could sing one and then the other.
According to the site Wolfgang gave above, poor George Tuff (the narrator of Barry's song) was only 17 when he survived the 1898 disaster.
I also came across this book by Abram Kean. The write up at that page gives some info on him.