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When Richfield became a village it no longer could have its police services provided by the sheriff department as it had when Richfield was a town. By state law sheriff departments provide service to residents of towns in Wisconsin.
By state law the Village of Richfield had to start it's own police department or contract for services. Richfield decided the cost was too expensive to start its own police department as well as a duplication of services so both the Washington County Sheriff Department and the Germantown Police Department were considered for contracted services.
Ultimately the decision was to contract with Washington County Sheriff. Richfield residents seem to be very happy with that decision.