(Character - Expanded Universe)
Ben Skywalker is the son of Luke and his wife, Mara Jade Skywalker. Luke's son is the first of Anakin Skywalker's four grandchildren to carry on the name SKYWALKER.
This youngest Skywalker almost wasn't because of an illness affecting his mother. But thanks to the love of his father (and the force) he came into being. He was named Ben after Ben Kenobi a.k.a. Obi-Wan Kenobi (personally I think Obi-Wan Skywalker would have been cooler).
Much like his 3 cousins before him, his safety quickly became an issue.
He was separated from his parents and put in the trusted hands of family
for his own protection.