Do you know any Universities which offer PHDships in HR?

Also, how long full and part time do PHDs take broadly?

By "HR" do you mean Human Resource Management (as a part of management studies)? If yes, then my answer is you have to look for PhD programmes in Management. There are plenty of those. Almost all departments of Management or Business schools have them. Look at areas of expertise that those departments have, and check if HRM is one of them. In the UK PhD programmes are 3-4 years long full-time, in the USA or Canada 4-5 years.

Alex- did you get ur studentship? try middlesex business school. they are offering six studentships. Bob as well.

Thanks guys a great help.