Without seeing more of the bloom, it looks like it might have been in the hybrid tea class. I would suggest Granada.

Sarah, don't count it out yet. Was there a large knobby section at the base where all the canes came out? If so was the break above or below that knotty part? If it was above it your rose will probably come back. If it was below that section then if it comes back it will probably only be the root stock and not your rose. Then you would have to replace it.

If you could post more pictures of it that would help but it does look like Granada which would fit your time estimate.as it was introduced in the 60s.