Davenport is a census-designated place in Santa Cruz County, California. Davenport sits at an elevation of 259 feet. The 2020 United States census reported Davenport's population was 388. Davenport lies along the coast of the Pacific Ocean, situated about 9 miles north of Santa Cruz, on Highway One. Originally on the banks of San Vicente Creek, the tow…Davenport is a census-designated place in Santa Cruz County, California. Davenport sits at an elevation of 259 feet. The 2020 United States census reported Davenport's population was 388. Davenport lies along the coast of the Pacific Ocean, situated about 9 miles north of Santa Cruz, on Highway One. Originally on the banks of San Vicente Creek, the town expanded to the north during the twentieth century.