ALL U.S. coins have the word LIBERTY on them and in 1878 many of them had a picture of Miss Liberty as well, so a "Liberty coin" is a bit like saying "what kind of car has a windshield and headlights"?
Please determine what the coin's denomination is and whether there is a small mintmark somewhere on the back - S, O, or CC - then post a new question with those details.
The Liberty head design was used on over several different coins in 1878. Please post a new question with the coin's denomination, with the wording "What is the value of an 1878 US (coin denomination)?" e.g. What is the value of an 1878 US silver dollar? or What is the value of an 1878 US 10 dollar gold piece.
Please recompose your inquiry to include exactly what you desire to know about the coin.
The coin is a 1878 Morgan silver dollar and is common with values of $17.00-$31.00 in average circulated condition
The most common type of 1878 Morgan sells for $17.00-$30.00 in circulated grades
Assuming the coin IS a Morgan dollar, the most common type for this date has values of $18.00 to $40.00 depending on the condition of the coin.
The Liberty head design was used on over several different coins in 1878. Please post a new question with the coin's denomination, with the wording "What is the value of an 1878 US (coin denomination)?" e.g. What is the value of an 1878 US silver dollar? or What is the value of an 1878 US 10 dollar gold piece.
A denomination is needed, post new question.
Please recompose your inquiry to include exactly what you desire to know about the coin.
The coin is a 1878 Morgan silver dollar and is common with values of $17.00-$31.00 in average circulated condition
The most common type of 1878 Morgan sells for $17.00-$30.00 in circulated grades
Assuming the coin IS a Morgan dollar, the most common type for this date has values of $18.00 to $40.00 depending on the condition of the coin.
There's no such coin. The last Liberty Seated dollars were struck in 1873. The Morgan series started in 1878.
Before an estimated value for any coin can be given it is necessary to know the denomination of the coin as well as the date.MoreIf you're using the term "Statue of Liberty coin" because the portrait on the coin looks like that of the Statue itself your coin is a US silver dollar, just like it says on the back of the coin ("ONE DOLLAR"). In that case please see the Related Question for details. Edit: Check that coin again. The Statue of Liberty wasn't even built until 1886.
Please check the coin again and post new question, the Walking liberty design was first used on half dollars in 1916 not dollars in 1878.
Morgan and Trade dollars are two very different coins. 1878 is the first year issue for Morgans and Philadelphia issue (no mintmark) Trade dollars of this date are Proof only issues but both are dated 1878. A Morgan has just the head of Miss Liberty on the front of the coin. Look at the coin again and post new question.
First, no US coin of any type is referred to as a "Lady Liberty coin", but the symbolic portrait of Lady Liberty is on most older US coins such as the Morgan Dollar series. So the Morgan and the lady liberty are the same coin.
Please check your coin again and post a new question. No silver dollars were made in 1834 and the first Liberty Head design dollars were the famous Morgan series, starting in 1878.