The name Non is a girl's name of Welsh origin meaning "nun". Non and discussed in our forums with posts like "How many ____s do you know?".
From the experts:
The legendary St. Non was the mother of St. David, the patron saint of Wales. Though violently conceived and born in a raging storm, David was raised in a convent by his mother and went on to become a great teacher and bishop. Non is also known as Nonna and Nonita, and is associated with Cornwall and Brittany along with Wales. While the name Non is well-used in Wales, it is largely unknown in the US and maybe be heard as the negative word "none" or prefix "non".