Carri \c(ar)-ri\ as a girl's name is a variant of Carol (Old German), Caroline (Old German), Carrie (Old German), Catherine (Greek) and Katherine (Greek), and the meaning of Carri is "free man; pure".
The baby name Carri sounds like Carry, Cari, Karri and Corri. Other similar baby names are Barri, Capri, Carli, Carmi and Carrin.