I'm pretty sure I'm overthinking this. Please talk me down.

I received in the mail a copy of a magazine. On the address label was my name, with "a gift from (my cousin)" on it.
My problem: I don't know if this is the first issue in a subscription that she purchased me, or just a free copy of a magazine.
If I thank her for the subscription and she just arranged for them to send me one issue (perhaps, for example, as part of a "introduce your friends to us" offer), it would be a little embarrassing for both of us. I don't want to imply that one issue of a magazine isn't a good enough present on its own. I'm actually touched that she remembered me this year - we don't usually give gifts long-distance, and when the family's together for the holidays, it's strictly token gifts among the cousins.
If I thank her for only the one issue of the magazine and it turns out to be a subscription, it's... I don't know, it just seems a little odd. I can't explain it in a way that doesn't make me sound like an idiot. I guess I'd hate for her to think that I assumed she "went cheap" for me.
If it helps to know this, we were very close as children but have become more distant as we've gotten older.
Suggested phrasing, or just slapping some common sense into me, would be much appreciated.
