As for our young lady - it strikes me that it is possible that the advertisment never appeared in The Times of London, and probably not in 1841.
I suggest this because of the following reason: in early November 1842, the following pieces appeared in two newspapers in Britain:

(The Belfast News-Letter (Belfast, Ireland), Friday, November 4, 1842)

(The Bradford Observer; and Halifax, Huddersfield, and Keighley Reporter (Bradford, England), Thursday, November 10, 1842; pg. 2)
These reports are the only ones I have come across - they mention that the advertisement of the young lady was placed in a morning newspaper (may well be The Times, but could be any other as well, although likely a London newspaper).
From the dating of these pieces (Nov 4 & Nov 10 1842), it seems that the request of the young lady
followed that of the Church contract in Bury, and did not precede it. The idea may have occurred to her after reading of the possibilities in Bury in the London papers (such as the Times).
Unfortunately, I am yet to find any example of the original advertisement.