Not that you really asked, but here's my two cents worth.
As others have said, it's not "normal" by any means. And if this is a family you plan to marry into and you also plan to have children, now is the time to discuss whether or not you intend to allow this to go on with your children and whether or not your DF, then DH, will be backing you up. If your future IL's are this pushy, I can see the potential for some serious problems in the future. And I would want to know now, rather than later, exactly what I was getting myself into.
My MIL tried something similar when DD was born, but DH and I did not allow it to happen and DH totally backed me up.