My name is Kate and my name means pure/clear and is a very popular Irish name and it also is a Latin name. The name was also a name from a person that played in a Shakespear's comedy "Taming of the Shrew."
Kate is also a derivation from the Gaelic/Erse word and name Ceith, which means "pure". It was a name possible for males and females which divided into Kate (f) and Cade (m).