Er ... no, I don't think I really should write an entire story about the wondrous power of breasts, somehow. (I just keep flashing to the Eddie Izzard comedy routine, with "a woman made of breasts", which would SO be the sort of thing the doctor would run into, if they could get away with showing it. Background character in the hospital on New New Earth, perhaps.)
Regarding that first point you raise ... the Doctor did tell Rose that he was a dad once, and we've seen his granddaughter, way back in the Troughton days. Maybe he just loops back into his distant past and runs into Susan's mother when she was younger.
Or Jack lost his mind for want and love of the doctor (plus, it had been a few thousand years, and he was both massively bored and more than slightly drunk at the time), cobbled together cloning machinery from left-behind alien artifacts, this being pre-Torchwood days, and then bore a child, walking some early peoples through the process of doing the first cesarian entirely without anesthetic (because, having been massively bored and more than slightly drunk when he conceived this ... er, conception, he didn't even vaguely think this through). Unable or unwilling to raise her, feckless man that he is (plus explaining the whole thing was quite beyond him), he gave her up to a human family, trusting that she'd be safe without him. Alas, the doctor's genes will out, and somehow, unbeknownst to Daddies dearest, she hitched a ride into space with some passing aliens, and was never seen on earth again.
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Regarding that first point you raise ... the Doctor did tell Rose that he was a dad once, and we've seen his granddaughter, way back in the Troughton days. Maybe he just loops back into his distant past and runs into Susan's mother when she was younger.
Or Jack lost his mind for want and love of the doctor (plus, it had been a few thousand years, and he was both massively bored and more than slightly drunk at the time), cobbled together cloning machinery from left-behind alien artifacts, this being pre-Torchwood days, and then bore a child, walking some early peoples through the process of doing the first cesarian entirely without anesthetic (because, having been massively bored and more than slightly drunk when he conceived this ... er, conception, he didn't even vaguely think this through). Unable or unwilling to raise her, feckless man that he is (plus explaining the whole thing was quite beyond him), he gave her up to a human family, trusting that she'd be safe without him. Alas, the doctor's genes will out, and somehow, unbeknownst to Daddies dearest, she hitched a ride into space with some passing aliens, and was never seen on earth again.