the West Gazette is available on microfilm at the library in Kendal.. if you contact the local studies section they do look ups etc. though there may be a charge. Is this the park that opened in 1904 near Keswick? If so it may be more likely to be in the Cumberland local press which I would imagine are more likely to be held in Carlisle local studies library..
the following is a list from the cumbria local studies newspper collection showing paper and holdings:
The principal newspapers held by Cumbria libraries are:
Adairs Maryport Advertiser 1853 - 1905 held at Maryport Library
Alston Herald and East Cumberland Advertiser 1874 - 1881 held at Alston Library
Ambleside Herald 1880 - 1887 held at Kendal Library
Barrow Guardian 1910 - 1947 held at Barrow
Barrow Herald 1864 - 1914 held at Barrow
Barrow News 1883 - 1986 held at Barrow
Carlisle Express and Examiner 1857 - 1913 held at Carlisle Library
Carlisle Journal 1801 - 1968 Carlisle Library
Carlisle Patriot 1815 - 1910 Carlisle Library
Cumberland and Westmorland Herald 1860 to date held at Penrith Library
Cumberland News 1910 to date held at Carlisle Library
Cumberland Pacquet 1774 - 1915 held at Carlisle, Whitehaven, Workington, Penrith, Kendal
English Lakes Visitor 1877 - 1910 held at Carlisle Library
Evening News 1910 to date held at Carlisle Library
Evening Star 1929 - 1967 held at Workington Library
Grange Visitor 1875 - 1891 held at Kendal Library
Kendal and County News 1888 - 1899 held at Kendal Library
Kendal Herald 1864 - 1866 held at Kendal Library
Kendal Mercury 1834 - 1917 held at Kendal Library
Kendal Weekly Courant 1731-32 held at Kendal Library
Keswick Reminder 1915 to date held at Keswick Library
Lakes Herald 1880 - 1916 held at Kendal Library
Lancaster Gazette 1801 – 1850 held at Kendal Library and Barrow
Millom Gazette 1892 - 1933 held at Barrow, Whitehaven
Newcastle Courant 1711 - 1800 held at Carlisle Library, Kendal Library, Whitehaven
North Western Daily Mail 1898 - 1940 held at Barrow
North West Evening Mail 1941 to date held at Barrow
Penrith Observer 1860 - 1968 held at Penrith Library
Soulby's Ulverston Advertiser 1848 - 1914 held at Barrow
Ulverston Mirror and Furness Reflector 1860 - 1885 held at Barrow
West Cumberland Times 1874 - 1966 held at Workington Library
West Cumberland Times and Star 1967 to date held at Workington Library
Westmorland Advertiser and Kendal Chronicle 1811 - 1834 held at Kendal Library
Westmorland Gazette 1818 to date held at Kendal Library
Whitehaven News 1856 to date held at Whitehaven
Wigton Advertiser 1857 - 1940 held at Carlisle, Wigton
Workington Star 1904 - 1967 held at Workington Library
All the above titles are held on 35 mm microfilm
hope that helps.
ethyl