He wouldn't like my house then! I don't think photographing under UV is necessary, but you had a couple of pieces I couldn't be sure about. ebayers often use the term uranium for anything green and when you ask if it glows, they tell you they don't have a UV light! How do they know it's uranium? I would just suggest adding that you've tested it and that it glows bright green under a UV light. Note that it must be really bright, not just a bit green.
[As an aside. The term uranium-green really gets up my nose, because uranium is actually a yellow colorant.]