Interesting find, Mastereagle. The skull cap, known as a zucchetto is worn by the priesthood of the Catholic church, designated by colour: The pope's is white; a cardinal's red; a bishop's purple; a priest's black.
In looking through related statues, art, and monuments, your statue head does not resemble any of the usual patron saints... however, it is a very close likeness to Leo XIII, Roman Catholic pope from 1878 to 1903. (So close, it appears the pic posted below for comparison is the reference the artist worked from to produce the statue)
http://www.nndb.com/people/387/000088123/
For comparison:
Throughout the 1800's, there were strong anti-catholic sentiments in the country, particularly after the waves of Irish-Catholic immigrants during the potato famine of 1845-1850. From this time to the end of the century, the population of Catholics in America doubled and then doubled again. To complicate matters further, the economy at the end of the 1800's was in tough shape, times were hard and many placed the blame on the new immigrants. As a result, attacks against persons and property, including grave-yard vandalism, were common occurances.
As an example of the level of resentment against Catholics at the time, an exerpt from the American Crusader, published July 29, 1854:
>>THINGS WHICH ROMAN CATHOLIC PRIESTS AND ALL TRUE ROMAN CATHOLICS HATE
Providence, July 22, 1854
1. They HATE our Republic, and are trying to overthrow it.
2. They HATE the American Eagle, and it offends them beyond endurance to see it worn as an ornament by Americans.
3. They HATE our Flag, as it manifest by their grossly insulting it.
4. They HATE the liberty of conscience.
5. They HATE the liberty of the Press.
6. They HATE the liberty of speech.
7. They HATE our Common School system.
8. They HATE the Bible, and would blot it out of existence if they could!
9. The Priests HATE married life, and yet by them is fulfilled the Scripture, to wit: 'more are the children of the desolate, than the children of the married wife.'
10. They HATE Protestants, and are sworn to exterminate them from our country and the earth.
11. They HATE the name of WASHINGTON, because he was a Republican and Protestant.
12. They HATE all rulers that do not swear allegiance to the Pope of Rome.
13. They HATE to be ruled by Americans, and say 'WE WILL NOT BE RULED BY THEM!'
14. They HATE to support their own paupers and they are left to be supported by the tax paying Americans.
15. They HATE, above all, the 'Know-Nothings,' who are determined to rid this country from their accursed power.