If any owner, agent or tenant of any property in any town or city suffers the privy well thereon to be so full that any 2 members of the local board of health declare the same to be a nuisance, such owner, the owner's agent and tenant in possession or any of them shall be responsible and after notice unless such privy is cleansed within one week after such notice shall for every offense be fined not less than $1 nor more than $20, with costs of suit, and stand committed to the county jail until the same be paid or until discharged by law.