Q. How do I cite a quotation from a secondary source?

As a general rule, you should quote from the original source.

The Chicago Manual of Style (16th ed): 

See the Quick Guide for "Chapter of an edited volume originally published elsewhere (as in primary sources)"

Chapter 14, Sec. 273: http://www.chicagomanualofstyle.org/16/ch14/ch14_sec273.html

Chapter 15, Sec. 052: http://www.chicagomanualofstyle.org/16/ch15/ch15_sec052.html

From the Chicago Manual of Style Blog:

Documentation : I would like to quote a sentence from my textbook ...

Quotations : I am in the awkward situation of trying to cite an excerpted book review that appears on the dust jacket... 

Documentation : [H]ow does one cite a quote that is taken from a book of quotations (such as Bartlett’s)? ...

MLA Style:

For a complete explanation, see section 6.4.7, Handbook for Writers of Research Papers (7th. ed).

Also, MLA Handbook, 8th ed. section 3.4 (Indirect Sources).

Text:   Samuel Johnson admitted that Edmund Burke was an "extraordinary man" (qtd. in Boswell 2:450).

Works Cited:

Boswell, James. The Life of Johnson. Ed. George Birbeck Hill and L.F. Powell. 6 vols. Oxford: Clarendon, 1934-50. Print.