What sort of name is "Nonny"?

Thanks for asking.

Nona {Latin}-the ninth {implying the ninth born child, if that child is a girl}; in Roman mythology, Nona was the name of one of the three Fates who spun the thread of life.

In compliance with the once ubiquitous practice of adding "ie" or "y" to personal names to create nicknames, "Nonny" & "Nonnie" are frequently used nicknames for "Nona".

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And since this is a music forum, though it probably has nothing to do with the personal name "Nonny", here's a 'Shakespearian' song that includes the refrain "hey nonny nonny nonny" . I can also think of at least one children's song that uses that same refrain...

"Sigh No More, Ladies..."
(From "Much Ado about Nothing")
Sigh no more, ladies, sigh nor more;
    Men were deceivers ever;
One foot in sea and one on shore,
    To one thing constant never;
       Then sigh not so,
       But let them go,
    And be you blithe and bonny;
Converting all your sounds of woe
    Into. Hey nonny, nonny.

Sing no more ditties, sing no mo,
    Or dumps so dull and heavy;
The fraud of men was ever so,
    Since summer first was leavy.
       Then sigh not so,
       But let them go,
    And be you blithe and bonny,
Converting all your sounds of woe
    Into. Hey, nonny, nonny.

http://www.poetryloverspage.com/poets/shakespeare/sigh_no_more_ladies.html

And, those interested in the meaning of non-standard names may want to check out this website: http://www.cocojams.com/names.htm

I visit it every day.

:o)