Complex sentence: Despite her family's disapproval of their relationship, Fanny began to write passionate letters to Kent, "filled with repeated entreaties to spend the rest of their lives together", and he eventually allowed her to join him at lodgings in East Greenwich near London.
Split into simpler sentences: Despite her family's disapproval of their relationship, Fanny began to write passionate letters to Kent, "filled with repeated entreaties to spend the rest of their lives together". He eventually allowed her to join him at lodgings in East Greenwich near London.