Livingston is Verizon. I got the same message and the same locale, I am SoCal - Verizon routes us west of the Mississippi people through there at times.
It said that someone IN Livingston logged into FB...YOU. Just the way the signal was proxied to FB from Verizon.
I never got any alerts nor any requests to change anything.
No money is gone and my contacts have not complained about messages.
Another time when I used the phone to get into FB I got the same email, but since I wasn't at home, i.e. my location had changed the ip changed as well.
And this time it was local.
A new device named "a mobile device" was added to your Facebook account (Today at 10:39pm) from Livingston, NJ, US(IP=174.254.32.xxx). (Note: This location is based on information from your ISP or wireless provider.)
Tell me that isn't what you got.