(written from a Production point of view)
Terry Noel is an actress who was a recurring background performer in Star Trek: The Next Generation. Her Starfleet uniform was sold off on the It's A Wrap! sale and auction on eBay. On the name tag she was Teri Noel. 
She filmed her scenes for the episode "The Nth Degree" on 28 January 1991 on Paramount Stage 9. For "Darmok" she filmed her scenes on Paramount Stage 9 on Thursday 25 July 1991. Her costume from this episode was sold off on the It's A Wrap! sale and auction on eBay.  According to the call sheets, Noel was scheduled to appear in the fourth season episodes "First Contact" in a scene in engineering and "Redemption" in a scene in the transporter room but was either not filmed or cut from the final episodes. She was also scheduled to appear in the fifth season episode "Hero Worship" in engineering scenes but was replaced.