**Core Concept**
The ABO blood group system is a classification of blood based on the presence or absence of specific antigens on the surface of red blood cells. The ABO blood group system is controlled by a single gene with three alleles: A, B, and O. The Rh blood type system is another classification of blood based on the presence or absence of the RhD antigen. Understanding the inheritance patterns of these blood types is crucial in determining the relationship between individuals.

**Why the Correct Answer is Right**
Given that the girl's blood type is O, Rh negative, her parents must be contributing the recessive allele for the O blood group. Since the girl is Rh negative, at least one parent must also be Rh negative. The man's blood type is B, Rh positive, which means he can only be contributing the B allele. The woman's blood type is A, Rh positive, and for her to be Rh positive, she must be contributing the RhD antigen. This means that the woman is likely the mother, as she is contributing both the A allele and the RhD antigen to the child. The man is unlikely to be the father because he can only contribute the B allele.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not take into account the Rh blood type system.
**Option B:** This option is incorrect because the woman cannot be the father, as she is Rh positive and the child is Rh negative.

**Clinical Pearl / High-Yield Fact**
In the ABO blood group system, the O allele is recessive to both the A and B alleles. This means that if both parents are A or B blood type, their children can inherit the O blood group. Additionally, the Rh blood type system is controlled by a single gene with two alleles: RhD and rh.

**Correct Answer:** C.