The conversation on The Language Log has turned to feminine pronouns and how many there are in which books.
Here are our Hobbit feminine pronoun references by paragraph number:
[01.005] after she became Mrs. Bungo Baggins.
[01.005] built the most luxurious hobbit-hole for her
[01.005] (and partly with her money)
[01.005] her only son,
[19.011] And bright are the windows of Night in her tower.
There are no occurrences of the word “hers”.
Update 2015.10.18: the chapter 19 reference. I find upon cursory search that neither Quenya nor Sindarin have “feminine” and “masculine” nouns, so we can take the Night reference as anthropomorphization or perhaps a reference to a nature deity form (in the manner that hobbits call the sun “she”).