Ok, a little further help.

Trade Directories: www.historicaldirectories.org

I did a seach using Matthew Mark, M Mark, Mark, Mark-Iron over a cross section of directories. No joy..

However, in order to enhance your search. You may need to research the name Mark, could have Jewish links. The name Matthew is Christian, not Jewish, unless used in a second marriage!
Most major cities had a Jewish sector. Manchester, Leeds, Liverpool, Birmingham & London. Liverpool & Birmingham were hotbeds for Safe makers, a possible clue..

Its entirely possible that Matthew Mark was an iron founder. He could have bought the Patented locks?

Any other assistance gratefully accepted..

Russell
Withy Grove
t: 0113 2721441