"Your father might have had an influence there."

Lizzie does not approve of Edward Masen, Sr. He had lots of money, which was nice, and he did genuinely love her, which was also nice, but he completely fell down when it came to parenting his child and if the practical considerations (i.e. money) hadn't been so hard to overcome, she probably would have left him over it. As it is, she tried to minimize the damage. It's hard to tell how well she succeeded.