I think her brain interpreted the first question as “Where do you live?” to which the correct answer is “Boston.” Then you offered her a choice of options, and her brain said, “Yes, that one,” without engaging the Specific Information pathway in her language processing unit.
Yep, I’ll bet that’s what happened.
Well, what some other posters were saying was that the question could be read “Do you own (product A or B)?” to which it is possible to reply “yes” without specifying which one if you read that question. However, a native English speaker would hear the intention of the question in the tone of another native English speaker if the question was spoken. I’m assuming both the OP and the lady on the phone speak English as their first language.
Regarding the Boston reply: It reminds me of an episode of MAS*H where Maj. Winchester is trying to call home. Every time he tells one of the operators that he is trying to place a call to Boston the next words out of his mouth (after a short pause) were “Yeeesssss Massachusetts” (in a rather annoyed tone). It was pretty funny.
That’s all.
Yes that’s exactly what I meant. It was of course meant as a joking aside, more as an opportunity to post my delightful anecdote about my math teacher. 
Your second sentence, Cisco, raises an interesting point, though. (and another hijack, please forgive me) It is most definately not assured that native english speakers would get the gist of the question. Logically, “yes” is a legitimate answer, and what is required to understand the real question is not an understanding of english, but an innate understanding of local customs about vocal affectation and how it affects the meaning and intent of words.
There are a surprising number of people who are unable to “hear” vocal affectation or properly interpret its meaning, despite being native speakers of a language. Similar to how people with some forms of autism cannot properly “read” body language or facial expressions.
OK hijack off
Or they could be like me, and get incredibly and irrationally nervous when talking to people on the phone.
Silly Lizard. I meant that if she was in fact not paying attention to what you were asking, then she was being rude. And that that kind of rudeness is just as bad as being stupid.
You weren’t rude at all.
she is, because the proper answer to “What state are you in ma’am?” would be “dire”
Hilarious Computerworld story on a computer mishap. Must read!
Just say yes