American 2 Cents With Stamps And Incuse?

I know I've see that HB stamp before.

It looks like a coronet cent with 13 stars. Trying to make out the date and I think I see 1817 but the 18 and 17 seem to be too far apart and the 8 is slanted weirdly. If it is 1817, there were no Half Cents minted in 1817 nor 1827 and the Half Cent series did not issue the coronet type but the classic head design that went immediately to braided hair so we can rule those out.

Not a colonial coin since the reverse clearly says UNITED STATES OF AMERICA.

At that weight it is a large cent. The incuse branch/leaves appear to be a merchant countermark added by someone after the coin was minted for some unknown purpose. Some collectors collect these punched coins and do research on what the purpose of the identifying mark was. Sometimes it was advertising, access to a business or product or to indicate ownership of something. If you add countermark to your title an expert in this area is more apt to look in and perhaps add information.

Definitely a large cent from the 1816 to 1835 era. I suspect the other incuse features (other than the HB) are the result of a "vise job" where some other coin has been pressed into it.

It's incuse so it's either another counterstamp or stamped against another coin (aka vise job). Nothing on the reverse of a coronet head cent matches, and I can't think of another US coin with something like that. Your first image needs to be viewed upside-down to correctly see the HB, and looking at it that way it could be some sort of ribbon ends as well as a branch. It's interesting that the HB is two different sizes.

Concur .... Coronet large cent, vise-job. It may an 1817, wide date variety.

Style-wise, the HB counterstamp looks by my "eye" to have been inflicted in the 19th century. The two letters appear to have been on a single punch; this, as opposed to two, individual letter punches. The consistent alignment of the apparently two, as opposed to otherwise four, stampings suggests this to me.

Checking Brunk's book on c/s's, I don't find this one listed. Unlisted mavericks like this are commonplace. There have been occasions, few and far between, where a few initials have been attributed to a particular company or individual. This c/s could be of USA or even Canadian origin. It may have been used as a picker token, a tool check and/or simply one's science experiment. Large cents were far and away the most common 18th century coins subjected to counterstamping. Of the 2,700 c/s'd pieces in my collection, 1,200+ are large cents. Their low value and large size, compared to other pre Civil War, coins then circulating, made them more inviting hosts for stamping.