The firm were better known as Joseph Lucas LTD, most of the buildings were built by them in the 50's and 60's though they bought an existing factory on the site in the 1920's. Denso only really came in when they bought the factory in 1999.
Lucas made hundreds of products mostly for the automotive and aviation industry's - mostly electronic items. In Birmingham they had multiple factory's and were one of the biggest employers in the city.
I highly reccomend the lucas memorys website, the page on these works, Shaftmoor Lane Factory can be found here and are well worth reading,
http://www.lucasmemories.co.uk/site/BW3/index.htm
I'll have to sort out some of my pre-demolition pictures at some point soon.