From the Iowa Library Quarterly:
Bedford — The dedication exercises of the new Carnegie building were held on Thursday evening, January 25th, in the Presbyterian church, a large and interesting audience being in attendance. The program was opened with prayer by Rev. C. C. Hatcher. which was followed by music by the Girls’ High School Glee club. The presentation of keys of the library to the city was made by Mr. B. J. Flick, and in accepting them Mayor Webb expressed the appreciation of the public in the work of the trustees which made the building possible. The address of the evening was given by Rev. Levi P. Goodwin. This was followed by a reception in the new building. The library was opened for use on the following day.[1]
Further interesting information (including on the building's architecture) is noted at the Carnegie Libraries in Iowa Project page for the Bedford Public Library.
The National Park Service has digitized the Iowa Site Inventory of the Division of Historic Preservation. The document is undated, but contextually it appears to date from 1983. It goes to lengths to stress that the "building is extremely well preserved."
It continues:
"The Bedford Public Library is a highly competent example of the side-gable end type of small library building. It is rectangular in plan, with a projecting entrance vestible in the center of the long side. In style, it is one of a small group of libraries with blend the Northern Renaissance and the Georgian."
The full digitized document (PDF) can be found here.