Interesting question. I went to the internet and found a site called Catholic Answers which claims to Explain and Defend The Faith.
There is a thread that poses this very question:
On Jun 18, '04, at 6:46 am Gene Z. asked This might seem like an obvious question, but it has been something I have pondered here recently. I have heard it said that Jesus received his body and blood from his Mother Mary. However, if the blood saves, then how can Jesus have obtained his blood from His Mother since that would not be salvific because she was not divine but human.
Thanks for your time. May God continue to bless Catholic Answers' ministry.
The only answer was provided by Fr. Vincent Serpa, O.P.:
Even though Jesus received all this genetic inheritance from His mother, He did not receive His blood from her. The baby in the womb is completely separate from the mother. Often the child will have an entirely different blood type from the mother. His blood was solely His.
Fr. Vincent Serpa, O.P.
So here is one ordained member of the Roman Catholic religion saying no.
I suppose those in the R.C. religion who insist otherwise are being their own Pope.
Say it ain't so......
"Jesus took His Flesh from the flesh of Mary." -St. Augustine