Originally Posted by Webfoot Hero
He "dies" fighting HYDRA in the closing days of WW2 in the comics, not the final day of May 7th, 1945. The comics put his final WW2 HYDRA fight in late April.
Baron Zemo, actually. Was he affiliated with HYDRA at the time? I don't remember.
As for the exact date of Cap's disappearance, I think it is in February 1945. There was an auction for the props from the movie a while ago, and the catalogue features a document pertaining to Zola's capture dated February 1945.