Complex sentence: John died on 4 April 1417 (in Compiègne, of an abscess in his neck, though rumoured to have been poisoned), and two months later, on 31 May, Jacqueline also lost her father.
Split into simpler sentences: John died on 4 April 1417 (in Compiègne, of an abscess in his neck, though he was rumoured to have been poisoned). Two months later, on 31 May, Jacqueline also lost her father.