Support Carry

I am playing mainly support but I often feel that it is hard to carry as support, since you are more a backup role rather than an carry role. But I've read some posts about the support being able to carry. So my question is which support can help carry the team better than others? I do not have many champions but I play Sona, Morgana and Lulu mostly right now. #Edit: I am switching over to Jungle insted.
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