Wyo. Stat. § 35-4-106
The state department of health may adopt such measures for the general vaccination of the inhabitants of any city, town or county in the state, as they shall deem proper and necessary to prevent the introduction or arrest the progress of smallpox; and every person who shall refuse to be vaccinated, or prevent any person under his care and control from being vaccinated, or who shall fail to present himself or herself to the county health officer or a practicing physician acting under the direction of the department or county health officer, for the purpose of being vaccinated, if such physician believes vaccination necessary, shall upon conviction be fined not more than one hundred dollars ($100.00) or less than ten dollars ($10.00) or imprisoned in the county jail not more than thirty (30) days.
W.S. 35-4-106