No problem. Just my take on it.
It is definitely man-made but I would hesitate to date it to a specific period. I have found Brown Bess bullets in areas supposedly CW. I have found modern lead in supposedly Revolutionary war sites.
One of the most common uses of lead for the last 1000 years or so has been for a weight - loom weight, curtain weight, fishing weight, gate closing weight, steelyard weight, etc. I think someone was making a weight (net weight?) from a round piece of lead by trying to put a "knob"on the top to attach a line.
Trinkets made of lead started out as either waste from casting, a sprue, or a bullet. If it was from a casting or a sprue, it would have not been so round. If this object started out as a bullet a soldier would have made (they didn't have molds for anything else) it should still have the characteristics of the bullet or evidence of being hammered or "worked." The caliber can still be determined (measurement in decimal inches), the weight can be determined (maybe add whatever percentage you think has been removed), and the length can be determined - all within a certain range given the condition of the object. If all this data does not fall somewhere in the range of bullets used during the CW, I would say it is not of that period or maybe not a bullet at all if it is WAY off. If the bullet had been "worked," it would show it but all it shows is some removal. It appears to be still the same size as the mold but the "hollow" bottom (Sharps excluded) is not there. So it is confusing.
Do the measurements and the math and see what it tells you. It may not tell you it is but it can surely tell you if it was not molded in a mold of the size and type used in the CW.
Again, just my take on it.
Daryl