A new sect, professing to be an association of Christians to promote the revival and spread of primitive Christianity, has recently sprung up at Bradford, in England. Its originators, or founders, are a Mr. Barker and a Mr. Trother, who have recently been expelled from the ministry of the New Connection of Methodists, by the annual assembly or conference of the members of that body, for some difference of opinion on doctrinal points between them and the conference.