Why is it a county?
Because those people like their public sector salaries, health bennies, and pensions.
From your link, I count approximately 14 county officials, out of a population of 57.
That includes a judge, county attorney, 4 commissioners, justice of the peace, constable, sheriff, auditor, tax collector, tax appraiser, water commissioner, and district clerk.
That's around 25% of the county population.