Extranuclear inheritance involves genes found in cellular organelles like mitochondria and chloroplasts, not in the nucleus. C. Correns and E. Baur discovered this through experiments on plants with white, green, and variegated leaves, finding that pollen source did not determine offspring phenotypes, only the cytoplasm of the female organs. There are two main types: maternal inheritance, where organelles are inherited from the egg cytoplasm of the maternal parent, as seen in traits like snail shell coiling and plant leaf variegation.