I took the liberty of locating Peter Alix in the 1860 census of Indiana.The family is indexed as "Alig" and is living in Salt Creek Township, Monroe County, Indiana, as follows..
Alig, Peter36b. France , Elenor37b. France , Eveline8b. Indiana , Ferdinand 6b. Indiana , Mary J.4b. Indiana , Vienna2b. Indiana , Margaret J. 4 months b. Indiana
You may be right about Peter's birthplace in France.I would still like to see additional census data to corroborate. I can suggest the current department of Meurthe and Moselle in France, from whence my ALIX family originated.That name proliferates in many parishes in this locality.