The name of Claire's baby is significant I reckon, as are most of the names:
Jack: Derived from John.
John: God is merciful (Hebrew)
Johnathan: Gift of God (Hebrew)
Kate: Pure/Virginal (Celtic/Gaelic)
Catherine: Pure (Greek)
Charles: Manly, strong (Old English)
Sawyer: Woodsman (Middle English) (although his name is probably derived from the Mark Twain character)
Boone: Good (French, Latin)
Shannon: Wise one, river name (Irish)
Claire: Bright, Shining, Clear (Latin, Greek)
Sun: Goodness (Korean)
Jin: Gold, Truth, Treasure, Pearl (Korean)
Micheal: Who is like God (Hebrew)
Walter: Powerful Warrior, Rule Army (Old German)
Walton: Dweller by the wall (Old English)
Vincent: Conquering (Latin)
Ethan: Strong, Firm, Constant (although Ethan Rom is an anagram of Other Man)
Lesley: Grey Fortress (Celtic/Gaelic) (although Lesley is counted as a female name, I'm not sure how you spell it for males)
Scott: From Scotland (Old English)
Steven: Crowned One (Greek)
Hugo: From the name Hugh (German)
Hugh: Bright in mind and Spirit (Old English)
Tom: A Twin (Greek)
Alex: Protector/defender of Mankind
Aaron:shining light, high mountain, messenger