There were NO births of a Joseph Dixon in 1875, Newcastle under Lyme, but TWO in Newcastle upon Tyne one birth was registered within the April-July quarter (10b/9), the second July-September quarter( 10b/13).
England Births & Christenings has a christening of a Joseph Dixon on 27 June 1875, Newcastle upon Tyne, St. Nicholas, the son of Thomas Dixon & Elizabeth. (
https://familysearch.org/ark:/61903/1:1:NRKZ-JDQ). This christening could relate to either birth registration.