Hi Michaela,
First of all, it's great that you're so in tune with your body and can recognize the shaking and immediately think "hypoglycemia!" - however, it's possible that this was the result of any number of other things - had you just been exercising? were you nervous about something? was your heart racing? Did you have coffee with your breakfast? The only thing you can do to rule out or confirm a low episode is to test, and it sounds like you did exactly what you were "supposed" to
I know from my own experience that 26 points in a half hour is not AT ALL uncommon. In fact, you'll find that if you test and then test again immediately after, you might be up to 10 points off your original number - blood glucose is CONSTANTLY changing - the small changes aren't a big deal, it's the big changes we have to worry about.
If you had dropped from 151 to 80 (still not considered hypo necessarily) in that half hour, then yes, I would have said your symptoms were a related to the significant drop, but in this case, it sounds to me like it could have been attributed to something else entirely.
but keeping accurate notes/logs of all these occurrences will help you and your Dr piece together the puzzle and rule out anything serious, so keep it up with being so observant!
my personal .02 anyway - good luck!
ps - don't forget to calibrate your meter and wash your hands before testing to ensure accuracy!