The Met Office predicts flooding rains will clear, moving south-east by lunchtime.
Thirty-five homes were evacuated as a precaution in Mansfield after a mudslide in the area while hundreds of people were kept inside Meadowhall Shopping centre near Sheffield due to gridlocked traffic outside.
Toll Bar and Kirk Sandall were among the worst affected areas in Doncaster, while South Yorkshire Fire and Rescue said around 100 people had to be rescued from Parkgate Shopping Centre in Rotherham.
Sheffield City Council has been busy responding to reports of flooding as a result of the heavy rain, which is expected to continue until tomorrow morning.
The force said: "The local authority are asking that people do not drive or leave their properties unless necessary".
Torrential rain has caused flooding in Yorkshire and the Midlands.
In the city of Sheffield, 228km north of London, the River Don overflowed after 850mm of rain fell on Thursday.
Derbyshire Police said her family had been informed and formal identification was yet to take place.
About 30 people sought refuge in the Meadowhall shopping center after floodwaters stranded shoppers who had turned up to see Christmas lights switched on.
Millhouses Park is also closed to visitors due to rising water levels in the River Sheaf.
Precautionary flood barriers were put in place in Mytholmroyd, which was badly hit in the 2015 Boxing Day floods.