I don't find an "R" Patrick although that doesn't mean there wasn't one. That it is an English lock is virtually certain. It could also be an American hardware dealer.
The most famous one is Anne Patrick. She apparently continued her husband's business after he had died. This was actually not all that unusual but apparently, she also had guns marked with her name. Of course, it is highly debatable as to whether she made them, which seems to be what was thought for a long time. By the 1820s most "gunmakers" were retailers, especially provincial gunmakers so if the products were being supplied complete there is much less reason to be surprised that a lady continued in the business.