彼女は毎朝６時に起きると言った。

。

She said she gets up at six every morning.

Literal

She [topic-は] every-morning six-o'clock [at-に] get-up [quotative-と] said.

と言った reports speech indirectly. The plain form 起きる inside the quotation is standard — Japanese indirect speech preserves the original verb form. 毎朝６時に sets the habitual time.