The nucleolus is where the assembly of the ribosomes begin. Proteins are assembled on ribosomes. Ribosomes produce proteins by following coded instruction of the DNA. Eukaryotic cells contain an internal membrane system known as the endoplasmic reticulum.
Because the mother had red her it means the woman is heterozygous and the man is homozygous recessive so there is a 50% chance of having a child with red hair and a 50% chance of having a child with black hair.