I found numerous Paraskevopoulos names in the US census records for 1900, 1910 and 1920. There are also many Paraskevas names, which seems to be a common alternative/variant of the name.

In 1900 there is a Christos Paraskevopoulos in Lowell, MA; in 1910 there are Eftimos, James, John, Nicholas and Petter (Peter?) in various states. In 1920 there are A???, Andy, Christ, Christ, Christos, Geo, George, John, Peter and Stratis listed, also in various states.

Any of these your relations?