This little fella still lives at the TVRR and Museum in Chattanooga TN. I've often wondered how it got there and if it really ever was a LIRR cab? Chattanooga TN June 7 2004
Your question made me curious. Apparently it was LIRR in origin. http://www.trainsarefun.com/lirr/lirrcabooseroster.htm
The only former Long Island car I have seen is this heavyweight Parlor Observation at Ringoes, NJ, June 1980 in Metro North paint. I think the car was later moved to Wantagh, Long Island and has since been renovated for a town museum, but that may have been a different one than this. What makes it confusing is that the LIRR had numerous cars named Jamacia.