If the coin is a large (40 mm) silver coin that says "1 oz fine silver" on the back it would be very surprising to find a circulated one. These coins are made of almost pure silver and aren't intended for circulation use. They're sold to collectors and investors for their metal price, which is far above the artificial $1 denomination.
In any case if the coin is essentially unworn it's worth its silver melt value. Precious metal prices change every day so any answer posted here would be out of date almost immediately. While it's not normal WikiAnswers policy to say "use the internet", that's the best approach in this case. You can check a site such as kitco.com, CNNMoney, etc. for the latest silver prices.
Assuming it's circulated and has no mintmark. Values for average circulated Walking Liberty coins are $16.00-$75.00.
1939 is a common date for Walking Liberty halves. Most circulated coins are valued for the silver, about $12.00.
Average circulated Walking Liberty half dollars from 1940 to 1947 regardless of Mintmarks are valued at $14.00.
All Walking Liberty Half dollars from 1940 to 1945 regardless of any mintmark have the same value of $12.00 in average circulated condition.
The 1943 Walking Liberty half dollar is the high mintage of the series with an average value of $5.00 to $8.00 in circulated condition.
Assuming it's circulated and has no mintmark. Values for average circulated Walking Liberty coins are $16.00-$75.00.
1939 is a common date for Walking Liberty halves. Most circulated coins are valued for the silver, about $12.00.
Average circulated Walking Liberty half dollars from 1940 to 1947 regardless of Mintmarks are valued at $14.00.
All Walking Liberty Half dollars from 1940 to 1945 regardless of any mintmark have the same value of $12.00 in average circulated condition.
The 1943 Walking Liberty half dollar is the high mintage of the series with an average value of $5.00 to $8.00 in circulated condition.
If you look on the back of the coin it will say 50 cents not a dollar. The coin is a Walking Liberty Half Dollar, most circulated examples are valued for the silver content only at about $5.00 Uncirculated coins can be $25.00 or more.
There is no 1944 liberty dollar. There is a 1944 liberty walking half dollar. The average value of these is about 10-12 dollars.
Please look at the coin again it's not a dollar it's a half dollar with retail values of $7.00-$9.00 in average circulated condition.
6-18-11>>> In average circulated condition it's valued at $18.00
A coin in average circulated condition has a retail value of $18.00.
The coin is a Peace dollar not a Liberty dollar and retail values for circulated coins are $16.00-$20.00
Assuming it's a 1925 Saint-Gaudens with no mint mark value is from $950.00 to $1,100.00 in circulated condition.