I'm going to go out on a limb and say that you aren't including the False Easting and False Northing in your XY coordinates. EPSG:4456 states the FE and FN values should be 2000000 and 100000 respectively. Being short 2 million feet on the easting value would explain why your point is in Pennsylvania.
If you change your point to include these values (x=2982394 y=299298) then that looks like the location you might be expecting.
EDIT -- I just checked earthpoint.us and WGS84 is the datum they are basing the calculation on. There is no State Plane Zone based on WGS84, so they're probably using the NAD83 parameters. For NAD83 NY/Long Island, the False Easting/Northing values are 984250/0 respectively. Try changing your output EPSG code to 2263 and see if that fixes the issue.
SIDE NOTE! If you are 100% positive that your data is in NAD27, then it's possible the wrong FE/FN values have been applied to your data.
If you set the "Output spatial reference" field to "4326", you'll get the results returned using EPSG:4326 coordinate system, which is the usual lat-long used these days, and is the same system that most GPS units default to.
With "output spatial reference" left blank:
# results: 1
OwnerName: US GOVERNMENT
geometry Polygon:
Ring0:[981499.81518554687,197022.05780029297],[981381.22521972656,196861.61462402344],[981307.0732421875,196922.38079833984]...2 more...
With "output spatial reference" set to 4326:
# results: 1
OwnerName: US GOVERNMENT
geometry Polygon:
Ring0:[-74.009920968454054,40.707464582669736],[-74.010348637064965,40.7070241663017],[-74.010616117411985,40.707190930767545]...2 more...
Best Answer
Calculating area, length, and other geometric properties in the Online Help has the instructions.