Two children were taken to hospital as a precaution after the car in which they were travelling overturned and landed on its roof in Sheffield.
The youngsters were travelling along Lodge Lane, Rivelin, with a woman in her 30s when their car left the road.
Firefighters who were called to the incident said the trio were already out of their vehicle when emergency services arrived following the crash on Saturday, at about 10am.
Five minutes later, crews from Mansfield Road and Low Edges fire stations in Sheffield were called out to Hemsworth Road, Norton, after a car ended up on its side.
A woman in her 50s was cut free from the vehicle before being taken to hospital.
Firefighters dealt with a range of other incidents over the weekend, including a car which went up in flames on Bawtry Road, Wickersley, Rotherham, on Saturday, at 6.30pm.
At 6.45pm that night, crews were called to a shed which was set alight on an allotment on Wakefield Road, Barnsley.
And a recycling bin on a car park in Queen Street, Swinton, Rotherham, was set alight in an arson attack that night.
On Sunday a Vauxhall Zafira caught fire on Sandford Grove Road, Nether Edge. The fire was logged as accidental.
A portable cabin found burning on Carlisle Street, Kilnhurst, Rotherham, at 5.15pm on Sunday was recorded as an arson attack.
Crews were also called to a cooker fire on Holly Crescent, Sunnyside, Rotherham.
And at 1am yesterday firefighters tackled a blaze in the cellar of a house on Green Road, Penistone.
A South Yorkshire Fire and Rescue Service spokesman said neighbouring properties had to be evacuated because of fears of an explosion after fire crews detected a gas leak.