The "Send For Churchill" enamel lapel badge is not from the second world war. It was created for the general elections in 1950 and 1951. There are a few badges with a similar design and different words - "Set The People Free" and "Churchill" - that are nearly always credited with being second world war-vintage but are actually general election badges.
Following the Labour victory in the General Election in July 1945, Churchill was removed from power and Clement Atlee became Prime Minister. Labour remained in office for a full five-year term and the next General Election was set for February 1950. Labour won that election with a much reduced majority and 20 months later called another election (October 1951) which it lost and which saw the return of Churchill as PM.
As part of the Tory election campaigns, emphasis was made on Churchill's war-time record and his name and image appeared on numerous election badges. The badges featured the patriotic white, red and blue, and used the victory V motif as well as Churchill's trademark V sign. The "Send For Churchill" badge was one of these along with the Tory slogan "Set The People Free".
Send me items to blog about via my contact page