
Unfortunately the Kennel club unlike the Finnish Kennel club with their Koiranet does not have an open pedigree database.
Just for interest on Koiranet I can put in the breed and get all the current registration figures/names, using a dogs name I can choose to see the pedigree in numerous generations, ti shows the inbreeding for each pedigree, shows how many offspring and to what partners a dog or bitch has had, their health tests and main show wins.
The best you can do is use the health tests tool, putting the dogs name and when you get results you can search the parents and so on, but it only works if they have had health tests.