Chester-le-Street was the registration district, not the specific town where the marriage took place.
Sources
"England and Wales Marriage Registration Index, 1837-2005," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:QVZK-5RPM : 9 October 2014), Arthur Bambridge and null, 1921; from “England & Wales Marriages, 1837-2005,” database, findmypast (http://www.findmypast.com : 2012); citing 1921, quarter 1, vol. 10A, p. 1242, Chester Le Street, Durham, England, General Register Office, Southport, England.
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