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C1 and C2 doesn't really mean anything as far as I know. I believe, as Pasofino mentioned, they are just designations given to a couple different pens of birds in a specific Black Copper breeding program.
F1 means something. That term is used quite frequently and probably too loosely. With Bengal cats for instance, F1, F2 and F3 were very important specific references to first, second and third generation hybrids from leopard cat and domestic crosses. The term is also used with plants as well.
Here is the Wikipedia definition of F1: F1 stands for Filial 1, the first filial generation seeds/plants or animal offspring resulting from a cross mating of distinctly different parental types.