Final answer:
The correct sentence is 'After Audrey Parker Nichols saw the play, she spent days trying to learn the actress's accents.' We add an apostrophe + s to a singular noun to show possession, even if it ends with -s.
Step-by-step explanation:
The correct response to the given question is option A) After Audrey Parker Nichols saw the play, she spent days trying to learn the actress's accents. This is because when showing possession for a singular noun, you add apostrophe + s (actress's), even if the noun ends in an -s. Options B, C, and D are incorrect because they either fail to show possession by omiting the apostrophe (B), use an outdated form of possessive for singular nouns that end in -s (C), or incorrectly form the possessive (D).