I had researched that case years ago and what I remember is there was no credible witness, just the tavern owner's wife that claimed she could see what was going on through a key hole. That particular day of the hanging, all those that were condemned to die were pardoned by the mercy of the judge, all except Pratt and Smith. Their crime was too great.
One of the two had a wife and kids. These men believed that they deserved their outcome, that Church and Crown were right to punish them for their terrible crime, and repented their sinful acts, hoping to be spared hellfire. The gentleman that lent them the room was also convicted. His punishment was exile to Australia.
To me it is no surprise knowing how strongly the Brits were against sodomy that hatred of gays was spread across their empire, and remains a legacy of their rule in places like India where homosexuality remained punishable until recently I believe, and is still a crime in many other countries. In the Colonies is was Thomas Jefferson that proposed the English Law practice of execution for sodomy was too severe, that cutting their nutz off was punishment enough.