Matthew Henry Commentary Leviticus 12:1-8

"And Jehovah spake unto Moses, saying, Speak unto the children of Israel, saying, If a woman conceive seed, and bear a man-child, then she shall be unclean seven days; as in the days of the impurity of her sickness shall she be unclean. And in the eighth day the flesh of his foreskin shall be circumcised. And she shall continue in the blood of [her] purifying three and thirty days; she shall touch no hallowed thing, nor come into the sanctuary, until the days of her purifying be fulfilled. But if she bear a maid-child, then she shall be unclean two weeks, as in her impurity; and she shall continue in the blood of [her] purifying threescore and six days. And when the days of her purifying are fulfilled, for a son, or for a daughter, she shall bring a lamb a year old for a burnt-offering, and a young pigeon, or a turtle-dove, for a sin-offering, unto the door of the tent of meeting, unto the priest: and he shall offer it before Jehovah, and make atonement for her; and she shall be cleansed from the fountain of her blood. This is the law for her that beareth, whether a male or a female. And if her means suffice not for a lamb, then she shall take two turtle-doves, or two young pigeons; the one for a burnt-offering, and the other for a sin-offering: and the priest shall make atonement for her, and she shall be clean." — Leviticus 12:1-8 (ASV)

After the laws concerning clean and unclean food, come the laws concerning clean and unclean persons. Man imparts his depraved nature to his offspring, so that, unless the atonement of Christ and the sanctification of the Spirit prevent it, the original blessing, Increase and multiply (Genesis 1:28), has become a dreadful curse to the fallen race, communicating sin and misery.

Let those women who have received mercy from God in child-bearing, with all thankfulness acknowledge God's goodness to them; and this will please the Lord better than sacrifices.