From the mystery egg Mr. Pokemon has you give to Professor Elm and then is later given to you. The gender of the togepi that hatches is random. If you did get a male then you can try evolving it (through friendship) and then breeding it with a ditto. You have to evolve it because togepi can't be breed. And ditto can be found in the patch of grass right outside the daycare (it's sort of rare so you might have to search for a while). Just keep breeding until you can hatch a female togepi from one of the eggs.
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Yes Togepi does evolve in Pokémon SoulSilver. It does evolve, but instead of evolving by levels, it evolves by happiness, which happens in every other Pokemon game with Togepi
the egg that hatches into togepi take togepi and let the professer see togepi then he gives you 1
It needs max loyalty with its trainer you can evolve togepi in one level has long as its happiness with its trainer is at the max.
Prof. Elm will give you one if you show him the Pokemon that hatched from the egg (aka Togepi)
no if your character is a girl it will most likely be a girl Not sure what the odds are, but it is possible since Togepi isn't on the list of male/female only pokemon, and the odds would be the same for both characters.