“Woodsider” is the name of an inhabitant of Woodside, in the borough of Queens. The name “Woodsider” has been cited in print since at least 1882.
   
 
Wikipedia: Woodside, Queens
Woodside is a middle class and commercial neighborhood in the western portion of the New York City borough of Queens. It is bordered on the south by Maspeth, on the north by Astoria, on the west by Sunnyside and on the east by Elmhurst and Jackson Heights. Some areas are widely residential and very quiet, while others (especially closer to Roosevelt Avenue) are more urban. The neighborhood is located in Queens Community Board 1 and Queens Community Board 2.
 
Old Fulton NY Post Cards
26 October 1882, The Newtown Register (Newtown, NY), pg. 5, col. 1:
Woodsiders are unanimous for Mr. Furman for Sheriff.
 
Old Fulton NY Post Cards
5 June 1925, The Daily Star (Queens, NY), pg. 14, col. 1:
BEST OF QUEENS
SCHOOL ATHLETES
TRY FOR MEDALS
Maspeth Boy Should Win in Sprint—Woodsiders Will Score Often.
 
10 May 1970, New York (NY) Times, “Young Manhattanite Finds Happiness in Woodside” by Franklin Todd, pg. 286:
One bright July morning we hauled our East Side furniture by rented van to our new apartment and officially designated ourselves “Woodsiders.”
   
New York (NY) Times
ABOUT REAL ESTATE; WOODSIDE PLANT TURNED INTO CONDOMINIUMS UNITS
By DEE WEDEMEYER
Published: February 7, 1986
(...)
The condominium units sell for an average of $180 a square foot - ranging from $360,000 for a 1,795-square-foot penthouse with terrace to $117,000 for an angular, 647-square-foot one-bedroom unit on the first floor. To some Woodsiders, the prices sound alarmingly high, but in Manhattan, the price of most new condominiums begins at $300 a square foot.
 
28 July 1989, Newsday (Long Island, NY), “Woodsiders Express Ire At TA Plan” by Joseph W. Queen, pg. 19:
The Metropolitan Transportation Authority, which oversees the TA, is expected to vote on the plan today. But Woodside officials say the plan is a ripoff.
 
Google Books
America—Naming the Country and Its People
By Allen Walker Read
Lewiston, NY: Edwin Mellen Press
2001
Pg. 148:
Woodside has Woodsiders (New York Post, March 21, 1977, p. 26/2) ...
 
Sunnyside Post
Daily News pays tribute to Woodsiders this Memorial Day
BY SUNNYSIDE POST ON MAY 27, 2012.
Remember these two men this Memorial Day.
 
Sunnyside Post
Woodsiders confused by mixed signals
BY SUNNYSIDE POST ON JUN 14, 2012.
A mistimed traffic light in a section of Woodside has residents fearing what they say is an accident waiting to happen.