She was swept away by the River Derwent in Darley Dale, close to Matlock, in the early hours of Friday, and her body was recovered downstream.
There were more than 150 alerts in other areas of the country where the Environment Agency cautioned that flooding was either expected or possible.
"People have been moved out of their homes and probably hundreds of businesses have seen damage to their properties - we stand ready to help in any way that we can".
Toll Bar Post Office worker Kathleen Overton, 61, told the PA news agency: "It was nearly biblical, I would say".
Swallow told Storyful the man drove his auto into the water hoping to get to the other side but ended up getting stuck.
One man told the BBC he carried children from his gym in Rotherham, wading through water that had submerged the streets outside.
"It wasn't as bad as it was in 2007, but it easily could have been if it wasn't for those lads".
The South Yorkshire Fire Service said Friday it had fielded 1,200 emergency calls and rescued 120 people during the floods.
Dozens of people were trapped in a shopping centre in the city of Sheffield overnight after becoming stranded by rising waters and about 100 others were rescued from a nearby mall by firefighters in dinghies.
Shopper Saskia Hazelwood, 17, from Doncaster, said: "At the start we thought it would be fun, a nice sleepover, something to certainly remember, but after 14 hours of being stranded in Meadowhall we just couldn't wait to get home, get into our own beds, feel safe again, and catch up on sleep".
The average monthly rainfall total for Yorkshire for November is 89mm.
"Some locations have observed a month's really worth of rain in just one working day", Met Office environment meteorologist Alex Burkill reported.
Rail operator Northern issued "do not travel" advice passengers, with lines between Hull, Leeds, Lincoln and Manchester affected.