Came across the following on http://www.seetheholyland.net/tag/st-james-convent/
St James the Great was beheaded by Herod Agrippa I, grandson of Herod the Great, around AD 44 (Acts 12:1-2). St James the Less was martyred by Temple authorities about 20 years later by being thrown from the Temple platform, then stoned and clubbed to death.
According to Armenian tradition, within the church are buried the head of St James the Great (the rest of his body is believed to be in the Spanish pilgrimage shrine of Santiago de Compostela) and the body of St James the Less.