Why did he use Carol’s, not Carol?
Native speaker’s answer
Rebecca
In this case, Ross means to say "can you take this to Carol's (place) ... " as it is common to omit "home" or "place" when speaking. If you encounter similar sentences where there is a person's name and the possessive form after, you can assume that the word "home" or "place" has been omitted. Ex: I'll meet you at Anna's (house/place) in an hour. Ex: Let's stop by Stacey's for breakfast.