Value of 1851 Indian head silver dollar?
It's not worth anything, because it's not a real silver dollar. The U.S. never minted that design. What you have is a novelty, it was made in China, and it doesn't contain any silver.
From your description, this is a known privately made novelty piece. It is NOT an official U.S. Mint issued coin. A real silver dollar dated 1851 is a Liberty Seated dollar. The obverse of the coin has the Indian head design that is similar to the Indian cents of 1859 -1909. The reverse has the denomination of 1 dollar and the date within a wreath. It has no numismatic collectible value.
If it's a genuine 1851 Seated Liberty silver dollar, which was the lowest mintage year for that coin, it's easily worth $5,000 in extremely worn condition, and significantly higher in better condition. If your 1851 dollar has an Indian head on the front and says "1 DOLLAR 1851" on the back, then what you have is a Chinese-made novelty coin that's not worth anything
That depends if you mean 1 cent or 1 dollar, and if it's a silver or gold dollar. The price range could be anywhere from $10 to over $1,000. If by chance it has an Indian head design on it, resembling the Indian cent, and the back says 1 DOLLAR 1851, then it's a novelty coin, and it's not worth anything.
No U.S. silver dollars have an Indian Head design, so if you have one it's not real. A genuine silver dollar coin dated 1851 would be a Seated Liberty coin. I have seen many 'fantasy' silver rounds with the Indian Head design with different dates, but they all have the 1oz .999 fine silver markings somewhere on the coin.
There were two types of dollar coins struck that year. Neither one carries an Indian head design. The large silver dollar carries a Seated Liberty image, while the small gold dollar carries a Liberty Head image. What you have is a well known novelty/fantasy piece. The 1851 Indianhead dollar isn't a counterfeit because there was never a real version produced by the U.S. Mint. They're made in China, contain no silver, and aren't worth anything.
These coins are well-known fakes made long after 1851. The Indian Head design is taken from the famous Indian Head cent that wasn't issued until 1859. The wreath design on the back is copied from a gold dollar issued at roughly the same time. In addition, the font used for "UNITED STATES OF AMERICA" post-dates 1851 and no US coin ever had the country's name on both sides. Finally, a simple specific gravity or drop…
No Indian Head silver dollars have been struck by the US. "1851 silver dollars" are well-known fakes made long after 1851. The Indian Head design is taken from the famous Indian Head cent that wasn't issued until 1859. The wreath design on the back is copied from a gold dollar issued at roughly the same time. In addition, the font used for "UNITED STATES OF AMERICA" post-dates 1851 and no US coin ever had the…