Hi, I'm the friend Brian mentioned. I have looked at what records I have and can't find a burial for your father.
My next step would be to do as you have done and contact the Local History Dept. at Leeds Central Library (0113 3785005). They have copies of the Yorkshire Evening Post where there will probably be an Obituary Notice for your father, also possibly an Inquest mentioned. They are very helpful and as you have a date of death it should be easy to find.
You said 'some people may say why bother because he's dead' but as you and I know family history is about family and tracing where you come from. If I was in your position I would do exactly what you are doing and I wish you every success.
Both Brian and myself live near to Leeds 12 so if you need any help or assistance with your research you know where to find us here on Rootschat.
Regards,
Ian