Final answer:
The correctly punctuated sentence is 'Stella, my dog, likes the author, Tennessee Williams.', where the commas correctly set off the appositive and follow the signal phrase before the name.
Step-by-step explanation:
The sentence that is punctuated correctly is: B Stella, my dog, likes the author, Tennessee Williams. This sentence has commas used to set off the appositive my dog, which is extra information about Stella. Also, there is a comma before the name of the author, which correctly follows the signal phrase.
In terms of incorporating quotations into writing, it is important to integrate them smoothly, ensure they are grammatically correct within the context of your sentence, and make it clear where the quoted material begins and ends using quotation marks and signal phrases. Periods and commas that are part of the quotation should be placed inside the quotation marks.