There is a mistake in the summary: at the very beginning, it says Antonio would be the father of Beatrice. Actually, he is most likely only her uncle, just as Leonato. Why else is Leonato the first who concerns of her marriage instead of Antonio? (He tries to convince her (2.1) and Don Pedro addresses him with this issue (2.1).) It is because he is her closest male relative (in the printed edition I have this is even written within an annotation) and therefore responsible for her.
These are only evidences but I could not find any indicator of a father-daughter-relationship. Let me know if you find one.