Three fire crews were called to Westmorland Mews, Leegomery, just after 1.30pm on Tuesday.
Shropshire Fire and Rescue Service said the blaze broke out on the ground floor and a woman was rescued from the first floor of the property using a short extension ladder.
A hose reel jet and two breathing apparatus were also used as the blaze was extinguished.
West Midlands Ambulance Service spokesman Jordan Eggington said: "We were called by the fire service at 1.42pm to a fire at a property on Westmorland Mews.
"We sent one ambulance, three paramedic officers and the HART team to the scene.
"Crews treated one patient, a woman, and she was conveyed to hospital for further treatment.”