I think 115 bpm for being us and walking around is legit. It really all depends on a variety of factors, as marc said.
I'm no skinny-minny or anything, but I'm fairly fit, and when I go through periods of working out quite a bit, my resting rate is low, like in the 50s, yet when I get up and move around, it's usually over 100. Now, when I'm stressed and anxious, etc., it'll go up even higher, to the 130s or so. I know this is an old trope on this site, but if you were not so worked up about your heart, I guarantee your heart rate would probably go down. The heart's one of those things like breathing—as soon as you pay attention to it, it tends to go haywire.
I'd say, and I mean this with best intentions, maybe it'd be a good idea not to check your pulse so much. Fixating on these types of things just make it worse. I mean, do you find that you're out of breath, or sweating or experiencing chest pains when you exert yourself? I'd imagine that these are much better indicators that something was "wrong" with your heart, not just your heart rate. Heart rate is just one of those things that varies so much depending on a variety of factors. Also, I think it's been said before here, but if you're stressed, the body is already sort of working from a deficit, so it's going to have to work harder to do simple tasks. That doesn't mean there's anything "wrong."
Hope this helps you!