Never thought of that situation. I would suggest that you check with your pension provider to confirm your understanding and see if there are any options you can elect now to increase her benefit.
The probability that you will die between 59 and 65 is low compared to the probability that you will survive to 65 or whatever age you pension maxes out so it you are an averages player you should wait. If you are risk averse you should consider starting it early.
I'm going to now have to go and check what my plan does in such situations.
If something cannot endure laughter.... it cannot endure.
Patience is the art of concealing your impatience.