The Met. Office has digitised many publications on weather and climate, and they can be found here:
https://digital.nmla.metoffice.gov.uk/archive
The documents include a complete run of the "Meteorological Magazine" - in its early years called "Symon's Meteorological Magazine", which began way back in 1866. The issues for February, 1881 and April, 1891 are of particular interest, as they cover the two great blizzards of January, 1881 and March, 1891. The former affected all of southern England, the Midlands, Wales and East Anglia, but the heaviest snow was in the south. The latter affected southern England but was worst in the south-west.
Symon’s Meteorological Magazine February, 1881
https://digital.nmla.metoffice.gov.uk/IO_0cb9a895-5f4d-4943-820b-faec3576904e/
Symon’s Meteorological Magazine April, 1891
https://digital.nmla.metoffice.gov.uk/IO_b8bae0ab-e20b-4e76-9931-f97bb6a192c9/
Further information on these blizzards can be found in Philip Eden's "Great British Weather Disasters", Gordon Manley's "Climate and the British Scene" and Trevor Harley's excellent website. For the 1891 blizzard, I can recommend Clive Carter's book "The Blizzard of '91", of which second-hand copies can probably be found through Amazon.
More on 1881:
18-19 Jan 1881: With below zero temperatures and a gale-force easterly wind, even inland, heavy snow spread northwards on the 18th to affect all of southern England and most of Wales, the Midlands and East Anglia, before clearing south-eastwards during the 19th. The heaviest snow was in the Isle of Wight and neighbouring areas. The same area had a second,
more localised, heavy snowfall overnight on the 20th, with parts of the Isle of Wight and southern Hampshire finishing up with more than 60cm of level snow from the two falls. Taking account of the strength of the wind and the amount of snow, much of SE and central southern England, south Wales and the south Midlands probably haven't had a worse blizzard since. Eden says that of snowstorms in the 20th century: "April 1908, Christmas 1927, several in the 1940s, February 1978 and January 1982 immediately spring to mind - but for the combination of snow and wind none of these quite matched the storm of 1881". Even in central London there were said to be drifts up to eight feet deep.
More on 1891:
9-10 Mar 1891: Heavy snow with gale-force north-easterly winds spread eastwards across southern England on the afternoon and evening of the 9th. In Devon and Cornwall this storm was worse than that of 1881 and has probably not been equalled since. Further east there was less snow than in 1881. The "Zulu" express train left Paddington on the evening of the 9th, was trapped at Brent station on the edge of Dartmoor by drifts on the line, and finally arrived in Plymouth on the evening of the 13th. Carter's book gives an excellent description of the blizzard. As well as describing the effects on land - and especially the railways - it also details the havoc it caused to shipping in the Channel, where the strength of the wind resulted in a number of shipwrecks.