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I have been a SB all 50+ years of my life and I have never known of a church officially forewarning another church of member being a problem. and if they did I would consider that the height of hypocrisy and being judgmental. How can anyone say just because a person is having problems in one church that problem will carry over to the next church. Yes it could happen but it may not be that person's fault and if it is how can we know God won't change that person's heart between Churches. As I said to me that is being very judgmental on the part of the former church. Understand?
I'm a Southern Baptist pastor. When we receive a request for transfer of membership we send it without comment. If I were to be contacted by another church with regards to an individual who is seeking a place in ministry with membership, I may be compelled to make some comments.
There are three ways to join a Baptist church. 1. By Baptism, which is for new believers. 2. By church letter from the church they left, this letter usually says, "We state soandso is a member in good standing..." but can also say, "We had problems with...". 3. By profession, this usually when the person is from a church that folded or lost the record of church membership.