Thanks again John R., The other soldiers listed in the letter are only Surnames.
These are 3 possible matches from the 1860 PIke census for McCue and Bailey. No luck with Tate, Riley.
Name: Isaac N McCue
Age in 1860: 21
Birth Year: abt 1839
Birthplace: Ohio
Home in 1860: Cuivre, Pike, Missouri
Race: White
Gender: Male
Post Office: Bowling Green

Name: Wm McCue
Age in 1860: 33
Birth Year: abt 1827
Birthplace: Ohio
Home in 1860: Cuivre, Pike, Missouri
Race: White
Gender: Male
Post Office: Bowling Green

Name: Wm W Baily
Age in 1860: 35
Birth Year: abt 1825
Birthplace: Pennsylvania
Home in 1860: Peno, Pike, Missouri
Gender: Male
Post Office: Frankford

Much obliged.