As for this tomb, there does not appear to be a Companion known by the name Adham. A sign in the window mentions a person by the name of Halid or Khālid and the year 46h (666 AD).
al-Ṭabari mentions that ‘Abd al-Raḥman, the son of the famous Khalid bin al-Walid, possibly led a campaign against the Byzantines in 46h before being killed by poison later that same year. Notably ‘Abd al-Raḥmān had led an earlier campaign into Byzantium in 44 as well. The sign may have mistaken ‘Abd al-Raḥmān for his father Khalid who also reportedly participated in fighting against the Byzantines during his lifetime.