This was, as someone has pointed out, the Arthur A Penn song, 'Smiling Through'. The very best recording of this - I say this with deference to lovers of Richard Tauber - is by Jo Stafford. It can be seen on Youtube. The only problem I have with the photos that accompany it is that her smiling eyes lover is a GI, whereas the little white cot is so clearly from the British Isles. The song is beautiful and Jo's performance of it quite outstanding