The most common Lucas dynamo is the C40 fitted to many cars in the 1950s and 1960s and should be easy to get hold of. The C39 is less powerful and less common, often fitted to tractors and is slightly smaller, 3.9 inches as opposed to 4 inches diameter. What is important is what side of the engine it is fitted as the fitting lugs are handed. I am not sure why earlier cars were fitted with C45 dynamos, this is a hefty unit (4.5 inches diameter) usually fitted to large saloons and would have been close to the exhaust in the Light 15.
Cheers
Richard