Badenov
SOC-13
I would read that as the children are Soc -1 while the parent is alive and holds the title and inherits the title (and full Soc) upon the parent's death.though the wording is confusing: 1 sentence says the children get the SOC at -1, but the last sentence says one child inherits their parent's social standing.
edit: like a lot of T5, there are some...ambiguous...readings possible.