The Watchman's Pilgrimage

 is an ongoing event, in which The Door in the Eye prepares to allow seven Pilgrims to ascend to the Glory. The Vagabond will be the first of these pilgrims, but the remaining six slots are contested by numerous other hopefuls, including Teresa. The conclusion of the Pilgrimage is probably foretold in The Time of Division by Amira Zahra, which speaks of seven individuals whose way will be opened to bring about the Second Dawn, the rebirth of The Sun-in-Splendour.

The Chandler has a secret pilgrimage, in which the remnants of those who died in the ascension of the Watchman's Names will be assembled. This may be the "Numberless" foretold in The Time of Division to "open the door for the Seven." The Four that will be "consumed" by the Seven likely refers to the Solar Hours (The Sun-in-Rags, The Meniscate, and The Madrugad) as well as The Watchman himself. This theory is complicated somewhat because The Time of Division specifically mentions that The Sun-in-Splendour will not rise from "the hour of Night," likely referring to The Meniscate.

Quotes
"The Sun will be divided that it might not sire children. Still its children shall be Four in number and its children shall be Seven in number and its children shall also be Numberless. The Numberless shall open the way for the Seven, and the Seven shall consume the Four...'" - Amira Zahra

 'The Watchman goes before; none but seven may go after.' - Kalle, The Sky, the Soul

"'The wine is imaginary,' she explained, 'but the cup is not. To navigate the Mansus one must understand the distinction. Perhaps one day you'll join me on the Pilgrimage, or I'll join you.'" - Teresa Galmier

"I am almost ready," they said, "to pass to the summit of the House, to prepare for the final ascent. Perhaps you'll join me. I will need allies, to fight for my place." - a pilgrim beyond the Peacock Door

"One day - perhaps one day soon - the Pilgrimage will conclude, and the Watchman will permit seven souls to ascend further. The Hour called Vagabond will be the first." - part of the Lantern minor ascension with a Risen lover.

Books
The Time of Division

The Sky, the Soul