The average cook salary at Fremont County was $37,855 , which is 29 percent higher than the average salary for this job in Wyoming, but 8 percent lower than the national average for this job . Cook salaries at Fremont County typically range from $36,209 to $39,501 (25th to 75th percentile). The highest reported cook salary was $39,500. There are 2 employees at Fremont County with the job title cook.