FamilySearch.org has a FREE database titled UNITED STATES, NEW ENGLAND PETITIONS FOR NATURALIZATION INDEX, 1791-1906 which has 2,075 index cards for people born in Greece.   RECORD DESCRIPTION The collection consists of naturalization documents filed in the National Archives Northeast Region (NARA ARC Identifier 4752894) which includes: Maine Massachusetts New Hampshire Rhode Island Vermont The majority of the records cover the date range of 1787-1906 but there are a few pages of outlying records from 1921, 1923, and 1932. The index consists of 3x5 inch cards arranged by state then by Soundex coded names of petitioners.  RECORD CONTENT The index cards  usually contain the following: Name of immigrant Place of residence Title and location of court granting certificate of naturalization Volume and page number where certificate is recorded Country of birth Age or birth date Date of arrival and U. S. port of entry Names and address of wit...

FamilySearch.org has a FREE database MAINE, VETERANS CEMETERY RECORDS, 1676-1918 that includes 3 men born in Greece (1889-1893).  RECORD DESCRIPTION The collection consists of a card file of veteran cemetery records located at the Maine State Archives.  The cards generally list the following information: Name of deceased Residence of deceased Date and place of birth Date and place of death War in which veteran served Cause of death Date and place of burial Next of kin Date and place of enlistment Branch of service, rank and unit of service Discharge date and place Cemetery record includes grave number, book number and page of record Source of information

FamilySearch.org has a FREE database titled MAINE, STATE ARCHIVE COLLECTIONS that includes 4 men born in Greece who served in the U.S. Civil War as "substitutes". Civil War Cards of Maine  include the following information: Name, age, rank and company of soldier Whether service was in the infantry, cavalry, or heavy artillery Birth place and current residence Marital status Physical description Date of enlistment Date and reason for leaving service Record of previous service

Maine, Compiled Military Records, 1812-1865 There are 7 people listing GREECE as their place of birth in this Ancestry.com database.  I have transcribed their names and listed them below .  If you do not have a subscription to Ancestry.com, most U.S. libraries offer access for FREE. Database information provided by Ancestry.com This database contains an index extracted from various Maine military records from the War of 1812 through the Civil War and Civilian Conservation Corps (CCC) records from 1937. This index provides numerous details extracted from records on three different groups of men: soldiers from Maine who served in the War of 1812, Maine sailors who enlisted in the Navy primarily in the years 1861–1865, and men from New England who served in CCC camps in Maine and New Hampshire in 1937. Index entries can include (depending on the original record type) name residence rank unit age birthplace occupation years of service place and date of enl...