Correct that she is SESOSTRIS.
But Hapag did not adopted their funnel colours from any other company. They always had a full buff yellow funnel and added the 3 rings black-white-red to their funnel top following the Flag argument in 1926 to respect the old Reich colours. This funnel was shown from 7 January 1927.
Deutsch-Austral colours were a white-red band on a black funnel.
Rgds, Manfred

Thanks Schepekees although photos of this specific ship are very rare.

This photo shows the German steamer Sesostris, (3987 grt) built in 1922 by Reiherstieg Schiffswerft, Hamburg (520) for Deutsch-Austral und Kosmos Linien, hamburg. In 1926, this firm was taken overby the Hamburg-amerikanische Packetfahrt A/G (HAPAG - Hamburg Amerika Linie). In this year, HAPAG adopted the iconic funnel colours of a black, white and red band on top of a yellow funnel. The black, white and red bands were in fact the upper part of the funnel colours of the Deutsch-Australische Dampfschifffahrts Ges. (Deutsch-Austral). Whilst interned at Puerto Cabello (Venezuela) sunk by its own crew to avoid capture by Venezuela on April 1st 1941.
Best wishes,
Schepekees

I think she is a local ship.
Permanent awnings over the bridge wings, the focsle, and elsewhere are a clue. Also the two dark bands on the funnel seem to be the same colour.
Profile is interesting with a well deck frd of the bridge which was not that common.