the AHRC is the "arts and humanities research council". the research councils are the biggest funders for all kind of research in the UK, including at PhD level. i'm sure you'll find their webpage easily through google.
i don't know the details of their funding opportunities as I am in social sciences and therefore more concerned with the ESRC (economic and social science research council). but as i said, assuming it is similar in AHRC and ESRC, they advertise "1+3" studentships which, if you get them, will provide you with a fully funded MA AND a fully funded PhD. fully funded meaning, they will pay your tuition and about 1000£/month towards living costs, and some other perks.
sometimes limited funding is available through your university. when applying for your place, do talk to the department about possibilities for funding!