Ask the applicant to have Buxton University send you an official transcripts for the former student. This information will verify the applicant's attendance, classes taken, passed, failed and if they completed a degree there. You may also contact the colleges registrar's office to verify their attendance. However, there are a lot of diploma mills that have credited hot-lines specifically for this reason.
Check Buxton University's accreditation by contacting the United States Department of Education and the Council on Higher Education Accreditation here in the U.S. or the Higher Education Funding Council for England to make sure that it's an accredited university in the U.K. and that the accreditation is accepted in the U.S.
Research the university on the web to make sure it's not been included in a diploma mill scam or is listed on a diploma mill list. This will help you further yell if the degree is real or fake
Verify the Buxton University degree by hiring a company that specializes in degree verification. Often all you need is the person's name and birthday. Companies like Abika and National Student Clearinghouse have linked up with a host of reputable universities to make degree verification a relatively easy process for a fee.