Definitely by her own hand, but she's professing regret. Look.

绝对是她亲笔所写 不过满篇都是悔恨之意 看。

As for Mr. Rolles, he showed himself in a most obliging temper, communicated what he knew with freedom, and professed regret that he could do no more to help the officers in their duty.

至于罗尔斯先生，他表现得非常和蔼可亲，畅所欲言，坦白说他很遗憾不能再帮助军官们履行职责了。