A 25-year-old woman found collapsed in the snow could have died after falling in sub-zero temperatures after a night out, Kent police said.
The woman, named as Bernadette Lucy Lee by Sky sources, was discovered by a man walking his dog in Church Meadows in Deal at 7.30am on Sunday morning.
A man also died following a crash in snowy conditions on the A12 near Kelvedon in Essex about 7pm on Sunday.
Ms Lee was found dead in Deal (Kent Online)
Police are still investigating the cause of Ms Lee's death but confirmed they are looking at the possibility that the she got into difficulties as she made her way to her sister's house, which was near to where she was found.
A police spokesman said: "There are other possibilities we are looking out but one theory is that this is a tragic accident where a young woman was on her way home from a night out, but she didn't make it to where she was staying.
"We don't know if that was because of the cold, or she slipped or she was drunk or she became ill."
Earlier, police said the woman was pronounced dead at the scene and the death was not being treated as suspicious but it was unexplained.
A post-mortem examination will be held later this week.
Police said Ms Lee's death may have been a "tragic accident"
The man killed in the car crash was a 59-year-old from the Colchester area, police said. He died at the scene after his car left the road and crashed into a tree on the embankment.
His passenger, a 57-year-old woman, also from the Colchester area, was taken to hospital with serious but not life-threatening injuries.
And a teenager who was badly injured while sledging in Middlesbrough remains critically ill in hospital, police said.
Liam Stafford, 16, hit a tree in Flatts Lane Country Park, Normanby, about 1pm on Sunday.
He would usually be playing football for his team North Ormesby FC Under-16s, but the game was cancelled due to the weather.
He was flown by the Great North East Air Ambulance to the James Cook University Hospital in Middlesbrough suffering from head injuries.
In Kent, a man was taken to hospital with broken bones in his face when he was racially attacked after confronting a group of youngsters throwing snowballs at him.
Also, a young woman who was seriously hurt in an avalanche that killed four of her friends in the Scottish Highlands remains in a critical condition in hospital.
The freezing temperatures and icy conditions are once again causing delays and disruption, with more than 3,000 schools shut and motorists being urged to take extra time and care on roads.
The bus slipped off the road in icy conditions in Caerphilly
The icy conditions caused a school bus with 20 children and three adults on board to skid off the road before going down an embankment in South Wales.
Fire crews were called to the scene of the accident in Llanfach, Caerphilly, south Wales, just after 9am.
No-one was injured but some of the youngsters, who were all aged eight to 12, were taken to a doctor's surgery as a precautionary measure.
As much as 10 to 20cm (four to eight inches) of snow is expected across Scotland and northern England, prompting the Met Office to issue amber warnings which urge the public to be prepared.
Yellow warnings - which advise people to take extra care - continue for parts of the north, east and southeast England as well as Northern Ireland, where up to five centimetres (around two inches) of snow could fall.
"Today's snowiest areas will be northeast England and eastern Scotland," said Sky News weather presenter Isobel Lang.
"Although sleety on the east coast, it will be snow inland where 10 to 20cm is forecast. Drifting snow, poor visibility and blizzard conditions are likely over higher routes.
"The snow will continue in the northeast tonight and into Tuesday although it should turn drier across northeast England.
"Later tonight and during Tuesday morning the weather is set to deteriorate across the southwest with the potential for some heavy snow across South Wales and parts of southwest England."
The temperatures will not start rising until the weekend, said Lang.
"Until then there will be further problems with ice and snow and daytime temperatures will continue to struggle to climb much above freezing," she said.
"Wednesday and Thursday look largely dry and cold with ice and patchy fog. Friday should see a slow change spread eastwards and westerly winds bring a rise in temperature later and a slow thaw."
On the roads, there are lane closures on motorways up and down the country, with hazardous driving conditions on the M4 at Bristol.
Heavy snowfall has closed two major roads across the Pennines, the A628 Woodhead Pass and the A66 between Brough and Bowes.
The Highways Agency said both routes were closed for some hours and advised drivers to find alternative routes across the Pennines.
Spennymore in County Durham
A section of the M6 in Cumbria was temporarily closed after a Land Rover vehicle towing a trailer of bullocks overturned.
Heavy falls in the North East made for a tricky morning commute for many. Northumbria Police said the A68 in Northumberland was blocked, with problems at its junction with the A69.
Drivers were advised to avoid the B6341 at Rothbury and reported a four-vehicle collision on the Spine Road at Cramlington, next to the 3 Horse Shoes roundabout.
Officers also said the A1 in the Newcastle area suffered traffic congestion.
There is also another day of snow and ice-related delays and cancellations on the country's rail network.
Virgin Trains warned of some cancellations in its services between London and Birmingham and the North West, while services into London King's Cross were also affected.
Eurostar said snow and ice in the UK and northern France were leading to speed restrictions and delays on all its trains. Six services were also cancelled, with customers told they could exchange their tickets for another date.
South West Trains said it was running a revised timetable throughout its network because of the weather, and would be concentrating on its mainline services.
Freddy the Boston Terrier plays in the snow in Nottingham
The company said there would be no services between Ascot in Berkshire and Ash Vale in Surrey, between Virginia Water and Weybridge, or from Salisbury to Bristol. It was also running revised timetables on other routes.
Southern said trains were unable to operate between Lewes and Haywards Heath in Sussex or between Horsham and Dorking or Reigate and Redhill in Surrey. The Southern service between South Croydon and Milton Keynes was also suspended.
At Heathrow Airport planes have been grounded for a fourth day and passengers were advised to check the status of their flights before travelling to the airport. More than 180 flights have been cancelled - about 10% of the day's capacity.
People were left fuming after 260 flights were cancelled - 20% of the airport's usual business - on Sunday.
Gritters have been out in force at Gatwick Airport to keep the planes running. The airport has only had two cancellations on Monday morning, although there are delays of around an hour on the Gatwick Express train service.
Flights have also been suspended at Leeds Bradford, Doncaster Sheffield, Norwich airports and East Midlands airports.