For divorces which you think took place in England and Wales between 1858 and 1937 you can look in the Catalogue of The National Archives. www.nationalarchives.gov.uk/catalogue/search.asp Try the family name in the “Word or phrase” box and you’ll need J77 in “Department or Series Code” box. If you find a relevant entry then you’ll need to go to Kew to look at it or use whatever facilities they have for ordering and sending you a copy.