The ResourceShelf found this article The Value of Libraries: Impact, Normative Data, & Influencing Funders by Stephen Abram.

Abram look at the real value of public, academic, school, and special libraries. He provides some nice statistics that you can include in your various hospital networking opportunities. Also included is a selected webliography at the end of the article for more indepth reading.

Brief excerpt:
"These are challenging times for libraries. We need to communicate our value strongly and in many ways. The studies and opportunities outlined above are fabulous initiatives. We must take our basic statistics and turn them into measurements, and then we must share our measurements. Raw statistics are just representations of effort -- something bureaucrats view with cost-cutting eyes. Well-chosen measurements can demonstrate the amazing value and impact of libraries to their communities, host organizations, and funders."