Well, I can only reproduce this excerpt from 'Revealed: the remarkable tale of TS Eliot's late love affair' in The Guardian: 

"In June 1964, Eliot visited Leeds, which he had come to like, for the last time. In October, he collapsed into a coma from which he was not expected to recover. Valerie held his hand in a nightlong vigil and in the morning he regained consciousness. Later, she told the Observer that he "looked at me as if to say 'I've done it'" and she took him home to Kensington. As he was carried across the threshold of the flat, he exclaimed: "Hurrah, hurrah, hurrah" and for a while he rallied. But he was living on oxygen and at Christmas his heart began to fail again. According to Peter Ackroyd, whose unauthorised account of his life is by far the best available, he came out of his final coma to utter Valerie's name and then died on 4 January 1965."


"Died in peace" is what I take it to be. 


On Friday, February 12, 2016, Nancy Gish <[log in to unmask]> wrote:
Is there any extant description of his death and his peace or lack of it? If so, where?

On Fri, Feb 12, 2016 at 2:39 PM, Chanan Mittal <[log in to unmask]');" target="_blank">[log in to unmask]> wrote:
He died in peace. 


On Friday, February 12, 2016, [log in to unmask]');" target="_blank">[log in to unmask] <[log in to unmask]');" target="_blank">[log in to unmask]> wrote:
Methinks CR might be more interested in his last thoughts?

Sent from my iPhone

> On Feb 12, 2016, at 2:30 PM, "Rickard A. Parker" <[log in to unmask]> wrote:
> http://mentalfloss.com/article/58534/64-people-and-their-famous-last-words
> 64 People and Their Famous Last Words
> 32. Writer T.S. Eliot was only able to whisper one word as he died: “Valerie,” the name of his wife.