Gasquet is an unincorporated community in Del Norte County, California, United States, 22 mi south of the Oregon border and 18 miles northeast of Crescent City. The name is in honor of Horace Gasquet, who was the owner of the gold mines, hotel, railway, bank and post office, as well as the founder of Crescent City and Happy Camp. A post office operated at …Gasquet is an unincorporated community in Del Norte County, California, United States, 22 mi south of the Oregon border and 18 miles northeast of Crescent City. The name is in honor of Horace Gasquet, who was the owner of the gold mines, hotel, railway, bank and post office, as well as the founder of Crescent City and Happy Camp. A post office operated at Gasquet from 1879 to 1902 and from 1949 to present. Gasquet is located in the Smith River National Recreation Area.