The image on the face of the Morgan Dollar is a rendition of Lady Liberty designed by George T. Morgan.
Money can have various values based on condition and certain stamping. An 1885 Morgan Liberty Head silver dollar can be worth between $20 and $400.
Assuming it's a more common Morgan dollar, about $13 for its silver content
This link shows a 1879 Morgan Dollar: http://www.coinfacts.com/silver_dollars/morgan_dollars/1879_morgan_dollars/1879_morgan_dollar_obv.jpg
The coin is referred to as just a "Morgan dollar" all silver dollars have "Miss Liberty" on them. An 1882 Morgan dollar is very common, circulated coins are $30.00-$37.00.
$15.00 to $20.00 in circulated condition.
1880 is a common date Morgan dollar, circulated examples are $17.00-$26.00 depending on grade.
Two different types of silver dollars were struck in 1921 a Morgan Dollar and a Peace Dollar. On the front of the Morgan dollar above Liberty's head is E PLURIBUS UNUM and circulated coins are valued at $15.00-$19.00. The Peace dollar has the word Liberty above her head and circulated coins are valued at $85.00-$185.00
The correct name for this coin is "Morgan dollar" (note the spelling) after its designer George Morgan. The image is of course the head of Lady Liberty rather than Mr. Morgan! Please see the Related Question for information about values.
A 1902 Morgan still in collectible condition is worth about $33.00
The best thing to do is type in Morgan dollars on your browser and click on images.
1881 is a common date Morgan dollar, retail values for circulated examples are $17.00-$26.00 depending on grade
Assuming the coin is circulated, has no mintmark and depending on grade, the 1897 Morgan is a common coin with retail values of $23.00-$32.00.