When a slave was freed by a Roman citizen, he became a Roman citizen himself, although with certain legal disabilities: eg, he could not stand for public office, he could not join the army, and was generally required to take certain oaths to support his patron (former master), by voting for him, not getting richer than he, etc.
Obviously, many of these do not apply to women, who could not vote, hold office or join the army. So - did a freedwoman have obligations to her former master/mistress, and how did her rights/status differ from that of a freeborn Roman woman? Also, as a woman, was she still subject to her master's potestas? And, if she should subsequently marry a Roman citizen, did she take her husband's status, or remain legally a freedwoman as opposed to freeborn?