Popularity:
The name Eura ranked 4064th in popularity for females of all ages in a sample of the 1990 US Census.
Though this name appears on the 1990 U.S. Census lists, it is used by only a small percentage of the general population.
Narrative:
This could be a short form of either Europa or Urania (both names from Greek mythology). Also, it could be based on the name of one of the hapless Hogg sisters of Texas, whose sibling was named Ima.