I'm not certain whether this will help with your question or not, but this is a small section from Oscar Cullmann's, Christology of the New Testament (page 129):
Hegesippus was the Jewish Christian author of a history of the very early church of which we possess only a few fragments. According to Eusebius he tells the following story: Despite the destruction of Jerusalem in A.D. 70, Domitian wanted to satisfy himself that the Jews were loyal. So one day he commanded that all of the descendants of David be sought out and brought before him. Apparently he knew that messianic revolts among the Jews were connected with their expectation that a descendent of David would rise against the Romans, claiming to be king. One of those denounced and arrested was the grandson of Judas, a brother of Jesus. The emperor asked the group whether they were of Davidic lineage, and they answered 'Yes'. He then inquired about their financial condition. They answered that they only had 9,000 denarii among them, and that they had to work the land in order to live. To prove that they themselves had to work, they showed him the calluses on their hands. That convinced Domitian that these descendants of David were quite impoverished and harmless, and he contemptuously let them go. I tell the story only to show that the Davidic tradition in Jesus' family was not contested.
Hegesippus was the Jewish Christian author of a history of the very early church of which we possess only a few fragments. According to Eusebius he tells the following story: Despite the destruction of Jerusalem in A.D. 70, Domitian wanted to satisfy himself that the Jews were loyal. So one day he commanded that all of the descendants of David be sought out and brought before him. Apparently he knew that messianic revolts among the Jews were connected with their expectation that a descendent of David would rise against the Romans, claiming to be king. One of those denounced and arrested was the grandson of Judas, a brother of Jesus. The emperor asked the group whether they were of Davidic lineage, and they answered 'Yes'. He then inquired about their financial condition. They answered that they only had 9,000 denarii among them, and that they had to work the land in order to live. To prove that they themselves had to work, they showed him the calluses on their hands. That convinced Domitian that these descendants of David were quite impoverished and harmless, and he contemptuously let them go. I tell the story only to show that the Davidic tradition in Jesus' family was not contested.