The Northborough Free Library’s board of trustees is looking to fill a recent vacancy in an unfinished term that ends in 2014. The trustees work with the library’s director to set goals and long-range plans for the institution, as well as review the annual budget and oversee the library’s invested trust funds and gifts. Trustees are expected to attend board meetings, which take place on the second Tuesday of each month at 7:30 p.m. in the library. Interested registered voters can pick up an application at the circulation desk or Town Hall, as well as through a link on the library’s website, www.northboroughlibrary.org. For more information, speak with board chairwoman Lara Helwig or the library’s director, Jean Langley.