Yes Alley is a calico. Usually this is how I tell the difference between calico and tortie and white.
Think of calico as a white cat with patches of black and red on her body. A tortie and white would mainly be the black and red colors with the white restricted to some on face, chest, belly and legs.
Some cats are borderline on calico vs tortie/white - and some associations just classify them as one or the other
Alley COULD be a borderline cat but I think she's calico