Drew Scholar Search and many of the library's databases are provided through the EBSCO platform, which can export citations directly to Endnote web.
These databases include ABSEES online, Academic Search Premiere, America: History and Life, ATLA, Business Source Premiere, CINAHL, EconLit , Education Research Complete, ERIC, Historical Abstracts, Index Islamicus, MLA International Bibliography, New Testament Abstracts, Newspaper Source, Old Testament Abstracts, RILM Abstracts of Music Literature, Women’s Studies International, SocINDEX, Philosopher's Index, PsycINFO.
Some database products don't have a direct export-to-EndnoteWeb option. For them, you will need to Export a list of your citations and Import them into Endnote web. If you use the Mozilla Toolbar for Endnote Web, the process skips a few steps.
Proquest Research Library and other Proquest Databases are currently among of those databases.