Darren Hoyland is a great bloke and well respected in the trade. Changed my phone so I've lost his number but over the years I've crossed paths with him on jobs many times. Should be easy to find on the usual search engines.
S K Fenton Roofing in Barnsley are really good. They're usually working in Sheffield a day or two a week at least and I know they do repair work, though might be busy with the current weather!
Scott is a third generation slater and knows what he's doing.
