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The excerpt which uses a parenthetical remark to create a conversational style is: A. She in turn had told him - indeed, had summoned him in order to entrust him with - another story, one from long ago, before the Civil War.
A parenthetical remark can be defined as a statement that is spoken or written in addition to the main part of a sentence but it is not essential to it. Thus, a parenthetical remark is used by a writer or speaker to either explain or qualifies what is being talked about, without changing the grammatical structure or meaning of the original sentence.
Note: A parenthesis is denoted or represented by this symbol (-).
In this context, "She in turn had told him - indeed, had summoned him in order to entrust him with - another story, one from long ago, before the Civil War" is an excerpt which contains an additional sentence that doesn't change the grammatical structure or meaning of the original sentence.
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