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Mew does not evolve, Mewtwo is a completely different pokemon.
Mew can be migrated from Pokemon Emerald if that game was participated in the Japanese Mew event to get the Old Sea Map or have 999 Pokemon in Pokemon Ranch and Hailey will give you Mew.
Before I go on, I'd like to say that without a Cheating Device, you cannot get these Pokemon from HeartGold.Deoxys - Migrate from the GameBoy Pokemon Cartridges to Pokemon Pearl or Diamond by using the Pal Park. Afterwards, trade Deoxys to HeartGold or SoulSilver. (By the way, Deoxys can be found at Birth Island in the GameBoy Pokemon Cartridges.)Mew - It seems that Emerald is the only GameBoy Pokemon Cartridge that has Mew. Migrate Mew to Pokemon Pearl or Diamond, like Deoxys, and trade it to HeartGold or SoulSilver. (Mew can be found at Faraway Island in Emerald.)Celebi - Migrate from the GameBoy Pokemon Cartridges to Pokemon Pearl or Diamond by the Pal Park. Do the same with the others and trade Celebi to HeartGold or SoulSilver. (Nintendo Event is needed for this lovely Legendary.)
Mew cannot be caught in the wild in Pokemon Diamond and Pearl. You need the action replay code.
The only natural way to get Mew in Pokemon Emerald is from the Old Sea Map special event. Since it already ended, there's no other way of getting Mew.