Thanks for posting.
I am curious as to how you came up with the exact date of 1913 but it does seem to be a reasonable guesstimate. It is hard to tell from your images whether this is a machine made bottle or not. Could be either for that point in time. It would of course affect its value.
The presence of the alcohol and ingredients reflects the impact of the Pure Food and Drug Act of... was it 1905?
It's a good piece although not hugely valuable. Having the labels and what appears to be original stopper are a big plus.
Watkins - a company still around today amazingly enough. I was surprised to see from this bottle that it appears to have been quite a big company as of ~1910