I met a woman who lives in the USA as her legal residence but
considers herself Turkish. She goes by the name, Lilly, but her
business card says Nilufer Okcuoglu. What is the meaning or
translation of this name?

Hello, earlstewart,

This is indeed a Turkish name.  I checked with a print dictionary, an
online dictionary, and phoned a Turkish friend for confirmation.

The literal translation of "Nilufer" is "water-lily" or "lotus", and
"Okcuoglu" means "son of an archer" (archer as in bowman, someone who
shoots arrows).

-oglu is a common suffix on Turkish names, equivalent to our -son.

You do not show the accents in your rendering of the name, but in
Turkish there should be diacritical marks on the U in Nilufer and on
the G in Okcuoglu.

The print dictionary used is a Redhouse English >> Turkish Turkish >>
English dictionary, the online dictionary is İngilizce-Türkçe
Türkçe-İngilizce Sözlük, found at <http://www.seslisozluk.com/> and my
friend stays anonymous.

Hope that's helpful to you, r2l.

This is my first experience with this service and the results exceeded
my expectations. I will be using the service often if the quality of
responses remains this high.