The nurses and some support staff at another Washington County hospital are clashing with management over the terms of a new contract they are negotiating. A union representing about 60 nurses and hospital technicians at Down East Community Hospital in Machias, which has been negotiating a new contract since October, held a rally Thursday evening to highlight what it called “hospital mismanagement that makes it difficult to recruit and retain quality staff.” The impasse at the Machias hospitals means nurses at both of Washington County’s hospitals are locked in battles with management over the terms of new contracts.