Is it permissible to marry a divorced woman who has a daughter with the intention of sponsoring the orphan and seeking rectification of financial affairs?

If the girl's father is alive, she is not an orphan, for an orphan is one whose father died while he was young. If she is an orphan and you are asking about combining the intention of marriage to seek wealth with the reward of sponsoring her, this is permissible, and there is no harm in it. You will receive what you intended.