I lived in that area and it can be confusing. There is a QUEENS Floral Park. It has nothing to do with Floral Park village in nassau county. There is also a Bellerose village in nassau county as well as a QUEENS Bellerose. I think the city planners had their heads up their asses when naming these areas.
As for being in Glen Oaks in Google that may be right but Google also shows the zip code of Floral Park in nassau county while it IS really on queens. Confused yet?
On January 1, 1899, Queens (as we now know it) became part of Greater New York City. Following that, the three easternmost towns (Oyster Bay, Hempstead, and North Hempstead) seceded and formed Nassau County (by the grace of the New York State Legislature). The incorporated village of Bellerose started as a housing development in the first decade of the 20th century; I don't know whether the name was used in the now-Queens area before then, but it seems reasonable that the name once applied to a contiguous area that was subsequently separated by politicians. Similarly, Floral Park (formerly East Hinsdale) took its modern name in the late 19th century, before the division of the county in 1899; the incorporated village, in Nassau County, was formed afterward, but the Queens neighborhood adjoining it continues to use the name to this day.
Long Island in general, and Nassau County in particular, has long been fond of multiple overlapping jurisdictions. A given name may describe the political entity (an incorporated village or its bastard alternative, the unincorporated hamlet), a postal district (zip code or service area), school district, or even railroad station. Onto these, you can layer the police districts (yes, plural), the sanitation, water, wastewater-treatment, and various other districts created by craven politicians to extract taxpayer funds without actually raising taxes (new taxes are somehow more acceptable). These entities are generically known as Special Improvement Districts, as opposed to the Ordinary Improvement Districts, I suppose.
Fun fact: the Port Washington police department is the manifestation of the state's only Special Improvement District formed for the purpose of policing, which is usually handled by the county or by the incorporated villages. Further fun fact: the whole concept of incorporated village was motivated in part by the desire to legitimize the private security guards (Pinkertons, and others) employed by the robber barons to keep the riffraff away from their thousand-acre estates and unpopulated beaches; incorporated villages are empowered to raise their own police forces.
