I am considering doing a part-time PhD. However, most of the scholarships that i found on educationuk.org are mainly for full-time doctoral degrees. the other constraint is that am not an EU/UK student.

Hi. I am a part-time PhD student and I have had to fund myself by working a day job. Working either full- or part-time would be one way you could support yourself. There are some universities that would pay your fees; you would usually have to talk to your potential supervisor or research co-ordinator in the universities you want to apply to.

I am sure there are organisations that would pay for part-time fees, will find out!