This text was written by a certain Sarah E. Seaman. An early version with the title "Affecting Narrative of the Conversion and Death of a Young Female" is in Youth's Companion 10 (1836), p. 114 (and was there reprinted from the Episcopal Recorder) see here: https://books.google.de/books?id=-PCpMCFScpoC This text was edited in "The British Evangelist", vol. 2 (1870), p. 81 and probably from there it was taken by Broom for reprint.

Martin