Only in proof and mint sets. None for circulation.
Susan B Anthony was on a US dollar coin minted from 1979 to 1981 and also in 1999.
Susan B. Anthony, thus the coin is name the Susan B. Anthony dollar.
The One Dollar coins from 1979 to 1981 & 1999
Susan B. Anthony was an activist in the women's suffrage movement.
Check the coin again and you should see that it is a peace dollar. Susan B Anthony dollars were made from 1979 to 1981 and again in 1999. The answer to the question is no a peace dollar does not stick to a magnet. This is because it is made of 90% silver and 10% copper and neither have magnetic properties. A Susan B Anthony dollar won't stick either.
Susan B. Anthony.Note that Anthony dollars were discontinued in 1999. They're made of copper-nickel, not silver, and are only worth $1 in circulated condition.
1979, 1980, and 1999 for circulation, and 1981 (mint set issue only)
The only U.S. one dollar coin dated 1981 is a Susan B. Anthony dollar. They are not referred to as Liberty Dollars. None were released into circulation or made from gold. It's been gold plated. Look at the coin again and post new question.
They were minted for circulation in 1979 and 1980, for collectors in 1981, and again for circulation in 1999.
From your description the coin is a common Susan B. Anthony dollar (1979-1981 & 1999) that is in circulation today. It's just a dollar coin, spend it.
None of the 1981 Susan B. Anthony dollars were released for circulation. They were issued in Proof & Mint Sets only. If it's still in collectible condition it may be worth $2.00-$3.00 if you can find someone that wants it.NOTE: None of the S.B.A. dollars contain any silver.
The coin you are referring to is likely the Susan B. Anthony dollar coin, which features a depiction of the suffragist Susan B. Anthony on the obverse and an eagle landing on the moon on the reverse. These coins were minted from 1979 to 1981 and then again in 1999. In circulated condition, the value of a 1979 Susan B. Anthony dollar coin is typically around face value ($1), as they are still fairly common.