。
She continued writing stories about animals.
Literal
She [topic-は] animal [possessive-の] stories [object-を] write-continued.
書き続けた is a compound verb: 書く (write) + 続ける (continue). The ~続ける auxiliary attached to a verb's masu-stem expresses sustained, ongoing action. 話 here means 'stories' or 'tales' — broader than 小説 (novels) or 物語 (narratives).