"Holy Cross College". Yes, it makes a difference, just like there is no "Notre Dame University" in Indiana.
And while what you posted is interesting, it has nothing to do with why the Fr. Fenwick who founded the place named the school the way he did. The whole thing on saints' names had zero to do with it. For example, Gonzaga University (after St. Aloysius Gonzaga) wouldn't be founded for another 44 years.
Marquette University is named after a Jesuit, but he isn't a saint. The same goes for John Carroll University. St. Louis University is named after the city it's in (St. Louis, which was named after the King Louis IX of France, not a Jesuit), as are Seattle University and the University of San Francisco. Georgetown is named after the district in Washington DC where it's located (and was founded by the aforementioned John Carroll). And I'm sure there are other examples but you get the point.
The College of the Holy Cross was named for a reason that has nothing to do with what you posted, and it's in the wikipedia article I linked below.
