History Enthusiast takes on "The Lost Tomb of Jesus"

Kristen, over at The History Enthusiast, has a great post on "Decoding The Lost Tomb of Jesus." Good analysis, but I was especially interested in how she compared the names recorded in the tomb--

Jesus, son of Joseph
Maria
Matthew
Yose
Mariamne e Mara
Judah, son of Jesus

to the listings she found in an 1850 slave schedule from Missouri--

24-year old mulatto male
20-year old black male
18-year old black female
15-year old mulatto female
6-year old black female
3-year old black female

What are the familial conections? How can we be sure?