Small Transport
Flight Crew Air Transport Pilot (ATP)
Confusion; Human-Machine Interface; Situational Awareness
Other Unwanted situation
General None Reported / Taken
Airport
At the Tallahassee; FL airport (TLH) Taxiway P was renamed 'B' several weeks ago.  Both the Garmin GPS safetaxi diagram; as well as the updated Jeppesen taxi diagram; still display the old and incorrect taxiway name- P.
A small transport pilot advised that Taxiway 'P' at TLH was renamed 'B' some time ago but that Jeppesen airport charts and the Garmin safetaxi diagram continue to identify it as 'P.'