What is the value of my Noritaki Rosemary 5007 China?

Look it up on eBay. Most have little value, unfortunately, unless it is specifically desired by a collector. Try your local Craigslist.

I have sold a lot of china on ebay.
You are a little late. October and early November are the best weeks of the year.
Basic dishes of a setting sell much more easily than occasional pieces.
Shipping adds a LOT of work on your part and a high cost.
I agree that you are most likely to be better off showing pics on craigslist and local Facebook groups.