An "1812 Morgan head dime" doesn't exist:
(1) There are no US dimes dated 1812
(2) George T. Morgan never designed any circulating US dimes
(3) Morgan lived in the late 19th century, not the early part
Dimes minted from 1892 to 1916 were designed by Charles Barber, not George Morgan, and in any case they show Miss Liberty's head rather than either Barber or Morgan! Please see the Related Question for more information and values.
The US dime produced in 1807 was known as a "Draped Bust" dime, and would not be mistaken for an Indian head. In fact, I am not aware of any US dime that could be referred to as an "Indian head" dime.
a 1942 Mercury Head dime is very common, if it has any wear the value is for the silver about $2.00.
A Mercury Head dime date 1926 with no mintmark has a retail value of $2.50 to $6.00 for a coin in average circulated condition.
A 1918 Dime - aka - Winged Liberty/Mercury Dime - is worth in good condition (G4): $4; if its mint state is MS60, the value is: $70.
Dimes minted from 1892 to 1916 were designed by Charles Barber, not George Morgan, and in any case they show Miss Liberty's head rather than either Barber or Morgan! Please see the Related Question for more information and values.
The US dime produced in 1807 was known as a "Draped Bust" dime, and would not be mistaken for an Indian head. In fact, I am not aware of any US dime that could be referred to as an "Indian head" dime.
A 1927 Mercury Head dime in average condition is $3.00-$5.00.
a 1942 Mercury Head dime is very common, if it has any wear the value is for the silver about $2.00.
If it has any wear at all the value is for the silver only about $1.00. A uncirculated 1942 dime is about $2.50
A Mercury Head dime date 1926 with no mintmark has a retail value of $2.50 to $6.00 for a coin in average circulated condition.
A 1918 Dime - aka - Winged Liberty/Mercury Dime - is worth in good condition (G4): $4; if its mint state is MS60, the value is: $70.
1943 is a very common Mercury Head dime. Most are only valued for the silver, about $2.00.
A US dime dated 1944 is a Mercury head dime, it's very common with a value of $2.00 just for the silver.
$2.00-$4.00 in average condition
Currently no 1943 Mercury Head dime has been graded as a MS-70 (Perfect) coin. So a value can not be given
If it has any wear at all the value is just for the silver about $2.00.