Re: I apologize for being ignorant in this...
You can find out the owner of the property from the Land Registry, at £3 per time. But that isn't necessarily the person responsible for paying Council Tax.
You can find out the valuation band from the Valuation Office, just put the post code into the website and it tells you the band. But the valuation band is only one factor in determining your tax liability.
Council Tax records, however, are not available to the public.