It might be worth contacting the Stoke Sentinel newspaper on the off chance they have anything in their archives. The Stoke reporter, Pete Smith, does a great job publishing old photos on their website.
The club included plenty of photographs in our 1992/93 programmes but they were almost always of the first team. Most of the coverage that year was about us winning the Second Division title. I can't recall the Staffs Senior Cup getting a mention.