One interpretation could be as follows.

Many of the names on the list are Biblical in nature.

That being the case, Benjamin would refer to the son of Jacob.

Benjamin's mother Rachel died in childbirth, as she was dying she named the newborn Ben-Oni meaning "son of my sorrow."

Jacob, in his grief, could not bear to think of Rachel's death every time he looked at his son and changed the name to Benjamin meaning "son of my right hand, who is very dear to me, set on my right hand for a blessing, the support of my age, like the staff in my right hand."

Another meaning could be the right hand signifies a place of honor, above all others.

These are two interpretations of what the right-hand son could signify.
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