I should have been more precise. The Gentile family made paperweights since the early part of the 20th century, but it is hard to find any that date back that far. The factory Gentile Glass was established in 1947. Signed (some with dates) examples started in the late 1950s, but only a small fraction of the weights were signed and / or dated until 1975. Starting in 1975 they started using the pontil stamps that were changed almost yearly for a while. Most, if not all, paperweights produced from 1975 and later were signed this way. Andy Dohan's book on Paperweight Signature Canes provides an excellent summary of the history including sections on Peter Gentile, John Gentile and Gertrude Gentile.
Many designs stayed in production for many years and it may be possible to find a signed example of the "GOD BLESS OUR HOME" paperweight with a signature. That said, the lack of a signature would most likely point to a date earlier than 1975. So Roger wouldn't be wrong to say 1960s or older.