CHEADLE Town picked up three more useful points in their determined bid to avoid crashing out of the top flight.
But their fourth win of the season came at a cost against an uncompromising physical Florence side.
Cheadle's director of football Alan Beaman felt his young side deserved better protection from the referee.
"I wasn't happy with at least three particularly heavy challenges, one of which resulted in our young striker Harry Smith having to come off with damaged ribs.
"All credit to our lads for keeping their composure and coming away with the points."
Cheadle also lost influential midfield player Mark Kent with a hamstring injury after 38 minutes of a game played in testing conditions underfoot.
Seventeen-year-old Charlie Goldstraw as brought on at right back and Matt Nutter, also 17, was moved forward to the vacant central midfield position.
Cheadle had taken the lead after just seven minutes through Dan Rooksby, whose 30-yard free kick was helped into the net by the Florence keeper.
The home side got on top for a 15-minute spell but Cheadle showed great resilience and eventually regained the upper hand. Smith's exit, which followed a crude challenge in the penalty area and saw the referee wave aside appeals for a penalty, was a bitter blow to the visitors and saw Jon Goodall come on in his place.
Jake Goodall wasted a chance to increase Cheadle's lead and only a brilliant save by keeper Matt Anthony denied Florence and equaliser. Alcock and Alex Wood squandered opportunities to make the game safe for Cheadle, before Wood atoned by running onto a long clearance from John Evans to score in the 82nd minute.
Smith and Kent will both miss Saturday's visit from Abbey Hulton United because of injury.
Beaman added: "Our first team goalkeeper Stuart Ford is also still sidelined with an ankle injury, but reserve team keeper Matt Anthony is doing an excellent job in his absence."