It is a woman's name, but its etymology is more than doubtful. It looks like a variant of Grace, which in Spanish is used as Graciela's hypocoristic, just like Gray or Grey; the latter is a surname with variants in the British Isles (Greye; McGraw) who formed a patronymic as Greyson, and who could also end up in Spanish as the name Greysi. Most likely, it is a reference to gray hair, hair color. See English/grey ("grey").
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