There are three main places to look for grant funding outside of Cornell: the US government, state government, and private foundations and corporations. While there are many resources out there for finding this funding, this guide points you to the major tool for each funding source. Federal grants=Grants.gov; NYS grants=New York State Grants Gateway; and foundations=Foundations Directory. Note that more and more recently, the Foundation Directory is indexing federal grants. In addition, GrantForward indexes both federal and private/corporate funding sources.
In addition to those 4 traditional sources of funding, you may be interested in exploring the possibilities for crowd funding.
Here are a few broader overviews of funding resources available online and in print:
For non-US grant seekers, and for those looking for grant funders outside the US, these resources may be helpful. Note--the Foundation Directory does include international funders, but not comprehensively.