The outlook continues to look bleak with amber and yellow warnings across the rest of the country until Sunday.
The Met office states the red warning for Taunton will affect areas one mile west of the town: "From 3pm today and 2am tomorrow, a spell of heavy snow and blizzard conditions is expected".
"Delays and cancellations to public transport are possible, as are delays to travel on roads; some stranding of vehicles and passengers could also occur".
Transport Minister Humza Yousaf said people would be risking their lives if they ignored the travel advice, and warned that the weather would get worse. "Long interruptions to power supplies and other services such as telephone and mobile phone networks, could occur". "Around 2-5 cm of snow is expected to fall in places, while some places could see gusts of 50 to 60 miles per hour", the forecaster added.
"We would advise passengers not to travel to the airport and anyone with travel plans should contact their airline directly for specific flight information".
It is the first red alert for snow in Scotland since a new warning system came into place in 2011.
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"Brisk winds will lead to some drifting of snow, as well as a severe wind chill, although these are expected to begin to ease through Friday".
More than a foot of snow was dumped in some parts of the country - peaking with 34cm of snow in Wittering, Cambridgeshire.
Plymouth Council said more than 80 schools would be closed on Thursday, with more than 50 in Newcastle and 103 across Devon remaining shut.
"Towards midnight, there is a chance of snow turning to freezing rain in places, mainly across the south of the area, with widespread icy stretches making driving conditions particularly risky".
Motorists on the M80 near Glasgow reported being stuck for up to 13 hours, with some spending the night in their cars, and others abandoning their vehicles on the motorway.
It is expecting to run a normal timetable with a small number of cancellations on Wednesday.
Temperatures plummeted to as low as minus 12C on top of Ben Nevis yesterday, the Met Office said.
Most of the United Kingdom remains under severe weather alerts, with two red, two yellow, and two amber covering most of Britain - and the National Grid has revealed a gas shortage, admitting supply won't meet demand today.