Finding scholarship in England
Jobs.ac.uk has a page about funding a PhD that includes the following:

A number of charitable organisations, foundations and trusts can help fund PhD’s. These include:
The Wellcome Trust
Cancer Research UK
The British Academy
The British Federation of Women Graduates
The Institution of Civil Engineers
Institution of Engineering &amp; Technology
Institution of Mechanical Engineers
Royal Geographical Society
Carnegie Trust for the Universities of Scotland
Leverhulme Trust
Action Medical Research