I think it was just easier for him to accept paternity, in my opinion, even though he certainly knew he wasn't the girl's father, and he was not. I think the money certainly had something to with though, I agree, that's a very good point. All in all, he had more advantages than disadvantages to gain when he accepted paternity, which must be why he did it. I suppose had she lived in to her mother's reign and to grow up, as Paul did, and when her supposed father was dead, she would still have been identified as his daughter, but I am sure it would just have been for the sake of appearances, nothing more. It never became more of a question, because she died so young.