Certainly I have not yet 'heard everything' in my 80+ years, but never heard of a previous name for the town of Hope, Bartholomew County, Indiana.In fact "Hope, IN" was believed to have been named after the former settlement of the Moravian Church Pioneers who came to settle a new town in Indiana.My family connections include 9 of the 10 Pioneers of Hope, IN.The previous home of some of the Pioneers was Hope, North Carolina.I would welcome further historical information.Always ready to learn something new.
As the above subject title indicates, Goshen is still a small town in Elkhart County, IN.Sorry not to have the rightBiblical quotation, but I believe there was a historical Biblical connection to the name "Goshen".
My own Grandmother, born in Hope, IN, in 1868 [after your ancestor], had a favorite expression of incredulity:"Land o' Goshen!"[Goshen rhymes with ocean.]I don't think she was referring to the town of Goshen in Elkhart county.Grandmother's husband, "Grandfather", the Reverend Alvin, is named in the same 1880 US Census (CD-Rom version) with given name:"Alvino" --- another case of misreading the "curly-cues".
Eventually it may turn out that the transcriber of a birth certificate for your Elijah Hopper, either the original writer or some copier, several-times-removed from the original, misread a curly-cue "G" for a "Y".See for yourself, some time, if you are able to obtain microfilm of an original image.
Your Barbara and Elijah Hopper left all 'blanks' for the states where any of their parents were born, in the 1880 Census.Perhaps Barbara & Elijah were away from home when the enumerated came by, and census answers were given by their children or a neighbor.You may want to take the family 'ages' with grains of salt.