A fireplace was a structure, built to contain a fire.
Trelane's drawing room on Gothos featured a fireplace. (TOS: "The Squire of Gothos")
James T. Kirk's apartment in San Francisco featured a fireplace in the living room. (Star Trek II: The Wrath of Khan; Star Trek III: The Search for Spock)
In the anti-time future seen by Jean-Luc Picard, Data had a fireplace in his living room while a professor at Cambridge University. (TNG: "All Good Things...")
The fireplace at Chez Sandrine was lit by a device which provided similar colored and flickering light as a fire would do. (VOY: "Twisted")
A friend of Kira Nerys owned a two hundred-year-old cottage in the Musilla Province by 2373. This cottage was located in a forest, twenty kilometers from the next neighbor and thirty from the next settlement. It had two balconies, three fireplaces, and the Holana River was visible from every room. (DS9: "Looking for par'Mach in All the Wrong Places")
The holographic program "Leonardo da Vinci's workshop" included a fireplace. In 2374 it was set on fire when Seven of Nine visited the program and Captain Kathryn Janeway joined her. (VOY: "The Raven")