The small kitchen blaze happened as the family slept in their market Market Drayton home where the smoke alarms weren't working.
Firefighters were called to Longslow Road when they woke at 8.37am on Saturday.
The fire was out when they arrived and crews worked to ventilate the property while the mother and son were checked over by paramedics.
A photo shared by firefighters revealed the blackened state of the overcooked nuggets.
Shropshire Fire Service said: "Two people suffering slight effects of smoke were treated on scene by ambulance personnel."
Market Drayton Fire tweeted: "Fire found to of involved chicken nuggets left in oven during night while family slept. Sadly smoke alarms not working. Mother and young son checked by paramedics."
INCIDENT 📟 Mobilised at 08:37 to 🏠in #MarketDrayton🚒 Fire found to of involved #ChickenNuggets left in oven during night while family slept🔥😴 🏠 smoke logged, sadly #SmokeAlarms not working🙁 Mother and young son checked by Paramedics from @OFFICIALWMAS #TestYourSmokeAlarm pic.twitter.com/stvoHSFJCr— Market Drayton (@SFRS_MDrayton) November 23, 2019