I read the article. It's not the first time the subject's come up on this site, either. Obviously, the child shares the parent's DNA genetic properties though he/she is a completely unique individual. What kind of "cells" are transferred to the mother and from the mother to the child isn't fully known but they are microscopic.
For example, if the mother's blood RH (Rhesus) factor is negative and the baby's father's is positive, there will be a transference of some blood cells at birth from the RH positive baby to the mother which will cause a problem in subsequent pregnancies. The mother's immune system will play havoc with the developing child if it is RH positive.
During pregnancy, problems can occur if you're Rh negative and the baby you're carrying is Rh positive. Usually, your blood doesn't mix with your baby's blood during pregnancy. However, a small amount of your baby's blood could come in contact with your blood during delivery or if you experience bleeding or abdominal trauma during pregnancy. If you're Rh negative and your baby is Rh positive, your body might produce proteins called Rh antibodies after exposure to the baby's red blood cells.
The antibodies produced aren't a problem during the first pregnancy. The concern is with your next pregnancy. If your next baby is Rh positive, these Rh antibodies can cross the placenta and damage the baby's red blood cells. This could lead to life-threatening anemia, a condition in which red blood cells are destroyed faster than the baby's body can replace them. Red blood cells are needed to carry oxygen throughout the body.
If you're Rh negative, you might need to have another blood test — an antibody screen — during your first trimester, during week 28 of pregnancy and at delivery. The antibody screen is used to detect antibodies to Rh positive blood. If you haven't started to produce Rh antibodies, you'll likely need an injection of a blood product called Rh immune globulin. The immune globulin prevents your body from producing Rh antibodies during your pregnancy.
If your baby is born Rh negative, no additional treatment is needed. If your baby is born Rh positive, you'll need another injection shortly after delivery.
If you're Rh negative and your baby might be or is Rh positive, your health care provider might recommend an Rh immune globulin injection after situations in which your blood could come into contact with the baby's blood, including:
As to additional non-genetic cell transfers and whether or not they remain in the mother, the child and siblings is a new field.
What you should be thinking about is the human flesh and blood, earthly body is transformed at glorification and is different. Our earth bodies and eternally glorified, like unto Christ's glorified bodies are NOT the same. How specifically they are different is a mystery. A resurrected body will come into being even if the dead human body is nothing but dust, scattered to the four winds, obliterated or still intact in a coffin. We will be "changed", this corruptible will be incorruptible.