I don't know what you have, but it didn't come from the U.S. Mint.
No, and there is no special significance that Lincoln is facing right. The Franklin Half Dollar minted from 1948-1963 has Benjamen Franklin facing right. Barber dimes, quarters and half-dollars minted from 1892-1916 has Liberty facing right. The Susan B Anthony Dollar minted from 1979-1999 has Susan B Anthony facing right. The Sacajawea Dollar minted from 2000-present has Sacajawea facing right. Many other historical US coins have also been minted with Liberty facing right, including the Chain Cent and Liberty Cap cent.
Miss Liberty faces the right on a 1797 Draped Bust dollar.
The 1847 Liberty Seated Dollar reverse is not the same as a Trade Dollar dated 1874. The eagles face different directions, Liberty Seated is left and the Trade Dollar is right. Also on the obverse of the Liberty Seated coin the body is facing right with head left and with the Trade Dollar the body and head are both facing left. The only way a 1847 dollar would have the reverse of a 1874 Trade Dollar is if it's counterfeit. I suggest showing it to a collector or dealer for their opinion.
If the coin is a U.S. silver dollar dated 1896, it's a Morgan dollar and miss Liberty looks to the left, not the right. But a 1896 Barber half dollar faces the right. Look at the coin again and post new question.
The right.
Right in front of the right claw along the edge.
The term "Seated Liberty Dollar" refers to silver dollars produced in the United States between 1840 and 1873. The coins have and image on the obverse (front) of a woman representing Liberty seated, facing left (although with her body facing right), with a shield in front of her. Note that "Gobrecht Dollar", dated either 1836 or 1839, has a very similar obverse but a different eagle on the revese (back) - it is generally considered to be a pattern coin. Note that the Trade Dollar, produced between 1873 and 1878 (with proofs made until 1885) for trade in the Far East, also has a seated depiction of Liberty, but the image of the woman is different (she is, amongst other things, holding a branch in front of her), and the reverse has the words "TRADE DOLLAR". Finally, note that the Liberty Seated device also appeared on the half dime, dime, quarter and half dollar during much of the Liberty Seated Silver Dollar's time of circulation.
1 dollar
A date is needed post new question.
W on a Walking Liberty half dollar is the designer's initial (A. A. Weinman). The mint mark location is on the back at roughly the 8:00 position - blank, D, or S.
With the portrait (head) facing the right and the date 1898. It's a Barber coin and can only be a half dollar, quarter or a dime.
On the one dollar bill, there is a three-quarter view of Washington's face. His body is turned slightly to his left, which would be the viewer's right.