The alarm was raised by the occupiers of the property in Earl Edwin Mews at 5.22pm on Wednesday.
Fire crews from Whitchurch, Wem and Ellesmere responded to the 999 call and firefighters wearing breathing apparatus went into the house to extinguish the flames.
A spokesperson for the Shropshire Fire and Rescue Service said the fire was under control at 5.47pm.
The fire was caused by unattended cooking.
