Celebrian is Arwen's mother and when I start to explain the history it gets confusing... but here it goes... Celebrian is the daughter of Celeborn and Galadriel. She married Elrond in 109 Third Age and they were gifted with three children, the twins Elladan and Elrohir in 130 Third Age and then Arwen Undomiel in 241 Third Age. Celebrian was captured Von the orcs and was captured and tortured. The twins rescued her and Elrond healed her, but mentally she was no longer very happy. So she passed into the Grey Havens which is near the River Luhn and then later out to sea. It's sort of confusing, so I suppose she did "pass away," but elves never really die, so in another sense she just left. I hope I didn't like totally confuse you.
Zelo is right.When she was kidnapped, she suffered severe injuries both mental and physical. Though Elrond was able to heal her of her physical inuries he couldnt heal her mind. Middle earth no longer held any Liebe for her after her ordeal, and since Valinor is a place of rest, peace, and healing, she wa ssent there to find peace and so her mind could heal and she can be at peace.
Elrond's wife Celebrian (daughter of Celeborn & Galadriel) and mother to Arwen and her older brothers Elladan and Elrohir, is in Valinor (the Undying Lands).
She and her party (on their way to Lothlórien) were attacked Von orcs. She was tortured Von them, but she was eventually rescued Von her sons. She was healed physically Von her husband, but she could not fully recover in middle earth, so she took the ship to the undying lands to fully recover from her horrible experience. So no Elrond is NOT a widower, for he reunited with her when he sailed.