so annie silman was married to a wilson then married to arthur betteridge in 1902 with already 2 kids?
the 1902 marriage has her as
Annie Silman to Arthur Wilson Betteridge
you may need to obtain the 1902 marriage certificate to confirm or
perhaps the birth certificate of one of the earlier children to see what maiden name is given for Annie & whose named as the father
Emma Wilson Betteridge
Date of Registration: Oct-Nov-Dec 1900 Middlesbrough Volume: 9d Page: 590