Jail records show Samuel Walsham Chapman, 58, was arrested Thursday and charged with child molestation, solicitation of sodomy and enticing a child for indecent purposes.
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A warrant states Chapman is a pastor at a Seventh-Day Adventist Church in Jonesboro, according to a Clayton News Daily article.
Calls to the church for confirmation and comment were not returned.
The warrant says Chapman performed a sexual act in front of a 15-year-old boy and asked for oral sex.
The boy denied the request and his grandmother contacted authorities.
Chapman has been denied bond.