Easton's 1897 Bible Dictionary:

Eunice
   happily conquering, the mother of Timothy, a believing Jewess,
   but married to a Greek (Acts 16:1). She trained her son from his
   childhood in the knowledge of the Scriptures (2 Tim. 3:15). She
   was distinguished by her "unfeigned faith."


Hitchcock's Bible Names Dictionary (late 1800's):

Eunice, good victory


U.S. Gazetteer Places (2000):

Eunice, NM -- U.S. city in New Mexico
   Population (2000):    2562
   Housing Units (2000): 1110
   Land area (2000):     2.919525 sq. miles (7.561534 sq. km)
   Water area (2000):    0.008505 sq. miles (0.022028 sq. km)
   Total area (2000):    2.928030 sq. miles (7.583562 sq. km)
   FIPS code:            25450
   Located within:       New Mexico (NM), FIPS 35
   Location:             32.440005 N, 103.162514 W
   ZIP Codes (1990):     88231
   Note: some ZIP codes may be omitted esp. for suburbs.
   Headwords:
    Eunice, NM
    Eunice


U.S. Gazetteer Places (2000):

Eunice, LA -- U.S. city in Louisiana
   Population (2000):    11499
   Housing Units (2000): 4675
   Land area (2000):     4.675153 sq. miles (12.108590 sq. km)
   Water area (2000):    0.000000 sq. miles (0.000000 sq. km)
   Total area (2000):    4.675153 sq. miles (12.108590 sq. km)
   FIPS code:            24565
   Located within:       Louisiana (LA), FIPS 22
   Location:             30.493595 N, 92.416927 W
   ZIP Codes (1990):     70535
   Note: some ZIP codes may be omitted esp. for suburbs.
   Headwords:
    Eunice, LA
    Eunice