i want to find out dates my mother Elsie Betty Faiers went to
somerville college Oxford somewhere around 1928. How do I find this?
and also what date the first women went to Oxford

Dear deseven-ga 
I have telephoned Sommerville College, Oxford and they have
information on Old Sommervillonians and in particular your mother. I
suggest you call a Mrs Cook of the Office of Association of Senior
Members, Sommerville College on +44 1865 270632 or if your phoning
from the UK 01865 270632. The college closes for Christmas on 20.12.02
The college web site is at
http://www.some.ox.ac.uk/offices/of_frame.html

england_ali-ga has kindly supplied the other part of the answer.

Good luck in your research.

answerfinder-ga

Hi,
To answer part of your question...
 'From 1878, academic halls were established for women, who became
members of the University in 1920. Since 1974, all but one of Oxford's
39 colleges have changed their statutes to admit both men and women.
St Hilda's remains the only women's college.' A Brief History of the
Oxford University (http://www.ox.ac.uk/aboutoxford/history.shtml )
Regards,
Alison