The British boy’s name Jameson means “son of James”. This name is widely known worldwide because of the Irish whiskey distillery, Jameson. Another yet shorter variation of the name is James. In the Christian Bible, James the Apostle was the first to be martyred and selected to witness Jesus' transfiguration. Whether you would like to honor baby’s religion or a special James in your life, the name Jameson is a lovely twist for baby.