Four fire crews were sent to the blaze at the Dalelands Estate in Market Drayton at around 3pm on Monday.
The fire destroyed the shed and tore through a door to the house before spreading to the kitchen.
Firefighters used breathing apparatus, a covering jet and hose reel jet to extinguish the flames.
Market Drayton Safer Neighbourhood Team said that the road was closed but no one was injured.
The fire caused a power cut to nearby properties.
As a precaution, police advised local residents to keep their windows and doors closed due to the smoke caused by the blaze.
Crews from Market Drayton, Whitchurch, Hodnet and Audlem were sent to the scene.