cool find Leadweight.
one thing I you might want to consider doing before it gets shot too much, is to evaluate the tiller. sometimes wood bows need adjustments.
if you were to post a pic of the braced bow, taken from a vantage point that is level with the bow, and straight-on square with the bow, it would be a nice addition to this thread. ( hang it on a nail on a wall with a plain background?)
I am not saying anything needs to be done, but it is hard to tell what the bend looks like from your pic of it leaning up against the door.
If it is indeed a kids bow, drawing it further than it was intended to be drawn, could be detrimental, (if it need adjustment )