Meredith puts the Grey in Grey's Anatomy.
No, she actually does. It's her last name, and the series takes its name from the classic anatomy textbook Henry Gray's Anatomy of the Human Body, commonly known as Gray's Anatomy. She narrates the show (with some exceptions), usually with voiceovers at the beginning and conclusion of the program.
Meredith is the daughter of Dr. Ellis Grey, who suffers from advanced Alzheimer's disease and was a close friend of Dr. Richard Webber, the chief of surgery at Seattle Grace Hospital.
She began a love affair with Dr. Derek Shepherd the night before she began her career as an intern, not knowing he was a surgeon at the hospital. She falls in love with him only to discover he is married when his wife Addison comes to join the staff at Seattle Grace.
She shares her house, which once belonged to her mother, with fellow intern Izzie. George used to live with her as well, but moved out following his disastrous one night stand with Meredith. A talented young doctor and a graduate of Dartmouth College, Meredith frequently battles self-doubt and mild depression over the respective situations with her mother and Derek.
In Season Two, Meredith began a relationship with Finn, a veterinarian played by Chris O'Donnell, but had an affair with Derek in the season finale. In the beginning of Season Three, she decided she wanted to be with Derek, even if Finn was the better guy.
Ellis Grey passed away mid-way through the third season of Grey's Anatomy, and Meredith nearly did the same during a three-episode arc in which the doctors attended to a ferry disaster and she almost drowned. Fortunately, Derek and the rest of the doctors were able to save her.
With her stepmother, Susan, also dying inexplicably in the past year, Meredith is once again shrouded in self-doubt, with her relationship with Derek in limbo, entering Season Four.