The first IVF babies are just beginning to have babies, and as pp said Louise Brown had several, and studies are underway, but I don't think there is a large enough group of babies yet for a good study.
I think the prevailing theory is that if the underlying cause of infertility has a genetic link then it might be passed on, or might not. For example, I believe Louise Brown's mother had issues with her tubes. I'm not sure if that was from endometriosis, which can run in families but not always. For instance, a mother and one daughter could have it, but not another daughter. Or both daughters could have it, but one will be able to get pregnant fairly easily on her own and the other will have problems. There are certain genetic diseases that clearly can be passed on and that always or usually cause fertility problems - and these can be tested for - but other issues that may or may not be carried on. So I don't think that there will be a very clear cut answer for a long time, until there is a very large sample size and researchers can look at all the different reasons for infertility.
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