Crews went to Betton Strange, near Cross Houses, after being called out shortly before 2.15am on Tuesday.
Shropshire Fire & Rescue Service said the fire was out when crews arrived and oxygen first aid was required.
Two engines from Shrewsbury and an ambulance crew attended the incident.
A West Midlands Ambulance Service spokesman said: "One man was already receiving oxygen therapy from fire colleagues when crews arrived.
"He was assessed and conveyed to Royal Shrewsbury Hospital for further checks."
A specialist extractor fan was used to clear the smoke-logging.
Fire crews also attended a house blaze in Trench Road, Telford, at about 8.15pm on Monday.
They wore breathing gear to tackle the incident in the roof at the single storey premises.
Crews were mobilised from Telford Central and Wellington along with an operations officer.
They left the scene at 10.06pm.
Meanwhile, firefighters from Wellington went to a car fire in Gibbons Road, Trench, Telford, at about 10.05pm on Monday, which was also attended by West Mercia Police.
The crew left the scene shortly after 10.30pm.