Will application deadlines for federally-funded fellowships and grants be extended, due to the ongoing government shutdown here in the States? Is there even anyone to contact (and get a response from) at this time, regarding application deadlines?
NDSEG deadline for 2019 is already over. It looks like their 2020 deadline is unchanged. Their funding may not be impacted (I can't keep track of which agencies are shutdown and which aren't). I know EIA is still funded so I imaging all of DOE is. But I really don't know for sure. In any case, I would just treat it as same deadline.
When I did stuff like this you had to actually mail off for paper applications. But I imagine this stuff is all on the net. So really nothing stopping you from doing applications.
For the National Science Foundation (NSF)
If your grant or fellowship is funded by the NSF, then the deadline remains the same.
From the NSF page, https://www.nsf.gov/shutdown/grantees.jsp, Information About the Government Shutdown for NSF Proposers and Grantees:
Impact on Existing Deadlines
During a lapse in appropriations, NSF will continue to accept proposal submissions pursuant to existing deadlines.
You should read this as "they will accept your proposal, will not process it, and the dead-line remains unchanged" during the shutdown.
You will not get any answer to your email during the shutdown. Quoting the same page:
Responses to any inquiries received regarding upcoming deadlines, including proposal preparation, will be deferred until normal operations resume.
With the enactment of continuing appropriations through February 15, 2019, NSF is working to resume operations. Employees should report to work on their next scheduled work day. For most staff, that will be Monday, January 28, 2019. NSF headquarters will be open to all staff starting at 6:00 a.m. Monday, January 28, 2019.