It sounds like you have what is known as a "broken banknote". These were issued in the 1st half of the 19th Century by private banks, most of which went broke, thus the name. Many of the banks had hoards of unissued notes when they failed and were subsequently sold as scrap. Those notes are usually unsigned or dated, and are called remainders. Signed and dated issued notes are more scarce.
The Canal Bank is one of the more common issues.
The Canal Bank is one of the more common issues.



















