It does seem to look remarkably like one of these doesn't it?
http://www.daimler.co.uk/daimlermodels/html/1937.htm
Have a look around this site and sign up to the forum Char I'm sure there is a lot of help available here and even links to spares suppliers.
If you have a look at the "Prices" tab you might have a car that is worth a bob or two there as well.
These guys may be worth contacting as well as they have restored one of these cars in the past:
http://www.rodjolley.com/flash/flashed.html
Here is a very similar Lanchester as well, does yours have a six cylinder or an eight cylinder engine?