The coins actually have a picture of the lady liberty sitting down on them.
If you mean the series of US Liberty Seated coins (1837-1891) on the obverse or front of the coins Liberty is seated, body facing right an head facing left. The denominations of the series are: Dollars, Half Dollars, Quarters, Twenty Cent pieces, Dimes and Half Dimes.
31,170 for circulation and 470 proof coins. These would be the seated liberty design.
In 1906 you could see Indian Head Cents, Liberty Head Nickels, Barber Dimes, Barber Quarters, Barber Half Dollars and Morgan Silver Dollars in pocket change. In addition you could , from time to time, probably find older US coins such as the Shield Nickel, the Seated Liberty Dime, Seated liberty Quarter, Seated Liberty Half Dollar and Seated Dollars.
A seated Lady Liberty.
A US dime dated 1867 is a Seated Liberty dime. To see one, in your search box type in Seated Liberty dime and click on images.
There are no "liberty coins" all US coins either have "LIBERTY" written on the coin or have a personification of Liberty. There are a few "liberty" coins that can more easily be identified and valued such as Standing Liberty Quarters (minted 1916-1930). But without knowing the denomination, the date, and the condition of the coin it is impossible to answer your question.
The word LIBERTY on U.S. coins is a motto. A motto is an inspirational message or emotionally stirring phrase. The motto's on current U.S. coins are Liberty, In God We Trust, and E Pluribus Unum ("out of many, one").
Please check again and post a new question. The Walking Liberty design was first used on half dollars minted from 1916 to 1947, and again on silver bullion "eagle" coins starting in 1986. The only US $1 coins minted in 1876 were seated-Liberty trade dollars.
The Liberty Seated Dime was minted from 1837 to 1891 by the US Mint. There may be two very small holes in the coin that may effect the value of it.
The coin is NOT a "Morgan Liberty" dime. It is a Liberty Seated (1837-1891) dime. Assuming the coin is circulated and has no "O" mintmark, the 1851 Liberty Seated Dime is considered a more common date of this type. Circulated coins are very common. For an accurate assessment of value the coin needs to be seen and graded. In general retail values for low grade coins are $12.00-$15.00, better grade are $20.00-$50.00 and coins showing almost no wear run from $100.00-$240.00. Values are a market average and only for coins in collectible condition, coins that are bent, corroded, scratched, used as jewelry or have been cleaned have little or no value to a collector or dealer.
No Standing Liberty dollars have been made by the US, the only dollar coins struck in 1836 are the Gobrecht dollars which have Liberty Seated on the front and a large flying eagle on the back and they are rare. Look at the coin again and post new question.
If you mean a US 1848 Seated Liberty dollar, low grade coins are valued at $300.00-$500.00 better grade are $700.00-$1,000.00 and up. I suggest having a dealer or collector grade the coin for a better idea of value.