I AM NOT CONVINCED THAT THERE IS A SINGLE OFFICIALLY-APPROVED METHOD FOR DOING THIS. DIFFERENT ACADEMIC INSTITUTIONS MAY HAVE THEIR OWN IDIOSYNCRATIC VARIATIONS.
And may have one set of rules (conventions is a better word) for a short paper and another for a PhD Thesis.
In my view, the footnote call (the place in the text that invites the eye to look for a footnote of the same number) should be a superscript not a subscript, and should be at the end of the material quoted.
The footnote should also start with a superscript and be typeset a couple of point sizes smaller than the main text eg 9 point footnotes for 11 point text, and the footnote should be in an italic font.
The footnote can be placed at the end of the chapter, the end of the book/thesis or at the foot of the page. The latter is the most logical but can be the most awkward if the document goes through several stages of revision (this affects where the page-breaks will fall) so as a rule of thumn I would only put footnotes at the foot of a page in a typeset book, where the typesetting is not going to alter, once undertaken.
Order of numbering the footnotes in order of appearance in the text
Bibliography in alphabetical order of author, and should indicate title, publisher, year of publication, and ISBN or ISSN number where known.