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>> Umm ... no. That's just wrong. An unborn baby has his own blood, with his own blood type, which doesn't change after he is born. The umbilical cord and placenta are also his; the 'interface' is in the lining of his mother's uterus. Oxygen, carbon dioxide, nutrients, and waste pass through but the blood does not. Unless there's a serious problem <<

No, you're wrong. Wikipedia: "Both mother and fetus share a common blood supply. In particular, the fetus's blood supply is delivered via the umbilical vein from the placenta, which is anchored to the wall of the mother's uterus."

>> Had Jesus' blood been Mary's then he would not have had the sinless nature. <<

Unless Mary was also sinless. This is a large part of why ancient Christians deduced Mary must be sinless, even though the bible did not explicitly state that fact. (The tension between the Catholic Church and the Orthodox Church with regards to the Immaculate Conception has more to do with the concept of original sin; the Eastern Churches believe Mary did not sin.)