Question: Are both Greenbrier Valley Airport and Lincoln Airport a public airport?

Context paragraphs:
San Gabriel Valley Airport: San Gabriel Valley Airport (formerly El Monte Airport) (IATA: EMT, ICAO: KEMT, FAA LID: EMT) is a public airport one mile (1.6 km) north of El Monte, in Los Angeles County, California.  The airport covers 103 acre and has one runway.  In November 2014, the airport's name was officially changed from El Monte Airport to San Gabriel Valley Airport.

Phoenix Deer Valley Airport: Phoenix Deer Valley Airport (IATA: DVT, ICAO: KDVT, FAA LID: DVT) is a public airport 17 mi north of Phoenix, in Maricopa County, Arizona.  It is owned by the City of Phoenix.  The FAA's National Plan of Integrated Airport Systems for 2009–2013 categorized it as a "reliever airport" for Phoenix Sky Harbor International Airport.

Greenbrier Valley Airport: Greenbrier Valley Airport (IATA: KLWB, ICAO: LWB) is a public airport three miles (5 km) north of Lewisburg in Greenbrier County, West Virginia, United States.  It has one runway and is owned by the Greenbrier County Airport Authority.  Silver Airways ("United Express") has scheduled airline flights, subsidized by the Essential Air Service program, to Washington-Dulles International Airport, which replaced Cleveland-Hopkins International Airport in summer 2012.  Silver Airways also flies to Atlanta-Hartsfield International Airport as an independent airline, replacing Delta Connection.

Napa County Airport: Napa County Airport (IATA: APC, ICAO: KAPC, FAA LID: APC) (Napa Valley Airport) is a public airport five miles (8 km) south of Napa, in Napa County, California, United States.  It has three runways.  During 2008 the airport's 1960-era control tower received extensive radio, plumbing and electrical upgrades and renovations funded by the federal government.  Airport officials said the airport had about 122,000 flights take off or land at the facility annually.

Yucca Valley Airport: Yucca Valley Airport (FAA LID: L22) is a public use airport located three nautical miles (6 km) east of the central business district of Yucca Valley, a town in San Bernardino County, California, United States.  It is owned by the Yucca Valley Airport District.

John Stuart (Virginia): Colonel John Stuart (17 March 1749 in Augusta County, Virginia – 18 August 1823 in Greenbrier County, Virginia [now West Virginia]) was a Revolutionary War commander and pioneering western Virginia settler.  A veteran of the Battle of Point Pleasant (1774), he surveyed and settled the Greenbrier Valley and is known locally as the “Father of Greenbrier County”.  Owing to his "Memoir of Indian Wars and Other Occurrences", written in 1799, he has been called "the most important chronicler of pioneer history in southern West Virginia".

Penn Valley Airport: Penn Valley Airport (IATA: SEG, ICAO: KSEG, FAA LID: SEG) is a public airport a mile north of Selinsgrove, a borough in Snyder County, Pennsylvania.  It is owned by the Penn Valley Airport Authority.  The National Plan of Integrated Airport Systems for 2011–2015 categorized it as a "general aviation" facility.

Lincoln Airport (Nebraska): Lincoln Airport (IATA: LNK, ICAO: KLNK, FAA LID: LNK) (formerly Lincoln Municipal Airport) is a public/military airport five miles northwest of downtown Lincoln, the state capital, in Lancaster County, Nebraska.  It is owned by the Lincoln Airport Authority and is the second-largest airport in Nebraska.

Wilkes-Barre Wyoming Valley Airport: Wilkes-Barre Wyoming Valley Airport (IATA: WBW, ICAO: KWBW, FAA LID: WBW) is a county owned, public airport three miles north of Wilkes-Barre, in Luzerne County, Pennsylvania, and 11 miles south of Scranton, in Lackawanna County, Pennsylvania.  The National Plan of Integrated Airport Systems for 2011–2015 categorized it as a "general aviation" facility.  The primary airport of the Scranton/Wilkes-Barre metropolitan area is the Wilkes-Barre/Scranton International Airport (AVP).

Conejo Valley Airport: Conejo Valley Airport, also known as Janss Airport, was an airport in Thousand Oaks, California.  It had a 2,600 foot runway and was located adjacent to Thousand Oaks Boulevard.  The airport opened in 1926, but was relocated in the early 1960s.  The new airport, known as Rancho Conejo Airport, was established on the south side of State Highway 101.  Various movies were filmed at Conejo Valley Airport, including "The Paleface" (1948), "Riders of the Whistling Pines" (1949), and "Overland Stage Raiders" (1938).  Rancho Conejo Airport appeared in the film "It's a Mad, Mad, Mad, Mad World" (1963).

Supporting paragraphs: Greenbrier Valley Airport Lincoln Airport (Nebraska)
Answer: yes