Unfortunately, in the case of women in Africa having children - yes, it is true it's not usually their fault. Their culture is usually such that rural women have little choice over their destiny, and little access to birth control. They are controlled by their families - father, husband, brother, uncle.
Reform the government and the culture to include private property rights, have men support their families, allow women the right of self-determination(not a slave of their family), and you might see a big difference.