Eusebius put the correspondence in the first book of his church history, and he was unusually specific about where he got it. The documents, he said, were kept in the public record office at Edessa, written in Syriac, and he had translated them himself. Two letters follow. The king writes that he has heard of cures worked without medicine, offers his small city as a refuge, and asks for healing. The reply blesses him for believing without seeing and promises a disciple after the ascension.
Nothing outside Edessa knows of this before Eusebius, and the letters do not survive in any first century form. The consensus is that they were composed at Edessa, most likely in the third century, to give the city an apostolic pedigree at a time when apostolic foundation was becoming the currency of ecclesiastical standing. The Latin West rejected them early: the list of accepted and rejected books that circulates as the Decretum Gelasianum puts the letter of Jesus to Abgar among the writings not to be received. The Syriac and Armenian churches took the opposite view, and the correspondence was copied, quoted, inscribed on lintels and carried as an amulet for centuries.
What the legend actually attests, then, is not a first century royal conversion but a third century city arguing about its own origins. Edessa did become an early and important centre of Syriac Christianity, with a school, a distinctive literature and a bishop by the early third century. A later king of the same house, Abgar VIII, is sometimes proposed as a genuine Christian ruler behind the story, though the evidence is thin and the identification remains a proposal rather than a finding.