Would you add profile numbers to your questions please, makes it easier to see what info you have been able to get already.
Now Annie and Ronald are both on Familysearch.org.
"England and Wales Marriage Registration Index, 1837-2005," database, FamilySearch(https://familysearch.org/ark:/61903/1:1:QVDK-99KX : 8 October 2014), Annie Carroll and null, 1955; from “England & Wales Marriages, 1837-2005,” database, findmypast (http://www.findmypast.com : 2012); citing 1955, quarter 1, vol. 5C, p. 718, Chelsea, London, England, General Register Office, Southport, England.
Although it says Annie and null, if you click the link you will see it does name Ronald.
Don’t forget when looking for her death record her name will be Annie Bates, it has taken me a while to remember to change last name.
Hope this helps