To the best of my knowledge, the type of detailed data you're looking for is not available (free of charge) to the general public. Insurance companies will use subscription-based web services to get detailed historic meteorological data from, say, the Met Office.
You could try contact the Met Office directly, to see if they can provide the information you require:
http://www.metoffice.gov.uk/corporate/contact/ contact.html
However, the best way to check the weather for a certain date might be to go to your local library. They should have the newspapers showing the forecast for the relevant day. Further, some local and regional newspapers also summarise the weather which has just gone. (If you can't find a written summary, look for weather maps showing the isobars close together, indicating strong winds).
Chris
PS: For a day by day summary of the key points of the weather, across the UK, (including some notes about flooding and storms), click on the relevant year in the right-hand panel here:
http://www.met.reading.ac.uk/~brugge/diary.htm l