Mammalian mitochondria maintain a small circular genome that encodes RNA and polypeptides that are essential for the generation of ATP through oxidative phosphorylation. The mechanism of replication of mammalian mitochondrial DNA (mtDNA) has recently been a topic of controversy. New evidence has led to a modified strand-displacement model that reconciles much of the current data. This revision stems from a new appreciation for alternative light-strand origins. We consider here some of the potential mechanisms for light-strand origin initiation. We also consider further the susceptibility of branch migration within replicating mtDNA molecules. The existence of alternative light-strand origins and a propensity for branch migration in replicating mtDNA molecules exposes a new array of possible configurations of mtDNA. The assortment and assignment of these forms is relevant to the interpretation of experimental data and may also yield insight into the molecular basis of replication errors.