Complex sentence: Lydia gave birth to her first child, Charles Hacker Pinkham, in 1844, lost her second child to gastroenteritis, and gave birth to her second surviving child, Daniel Rogers Pinkham, in 1848.
Split into simpler sentences: Lydia gave birth to their first child, Charles Hacker Pinkham, in 1844. She lost their second child to gastroenteritis, but gave birth to their second surviving child, Daniel Rogers Pinkham, in 1848.