Dear Mohammad,

in my oppinion the answer is no. The origin of cord blood is the fetus, therefore there should be no parts of maternal physiology there.

However, in some cases we have observed contamination of cord blood with maternal leucocytes. This might happen in case of peripartal maternofetal transfusion. Those "contaminations" are rare and normally only show up when HLA typing is done, and all of a sudden the child presents with three different haplotypes, two of which are those of the mother...

During the last 11.000 cord blood preparations at our site I remember having observed something like two or three cases.

Dear Julian, Thank you so much for your expert and in depth answer. It is truly beneficial. I am wondering, would there be any relation between mother's blood Zn, vitamins, and plasma soluble factors including antibodies and those of the fetus blood present in the umbilical cord.  

Dear Mohammad,

well, that is something different then... The antibodies of the mother are transferred to the fetuses´ blood if they are of IgG class. As the child´s immune system is not fully developed during pregnancy, this is beneficial for the child during something like the first three months after birth. On the other hand, this might lead to problems like Morbus hemolyticus neonatorum, fetal alloimmune thrombocytopenia or neutropenia.

Levels of vitamins and micronutrients in the blood of the fetus will surely be in correlation with those of the mother, however, I do not know this last bit for sure. There probably is literature available on pubmed regarding such experiments.

http://www.ncbi.nlm.nih.gov/pubmed/?term=correlation++micronutrients+cord+blood+mother+blood