If it were for a doorbell, I can’t imagine a doorbell press being under 20 milliseconds. That’s 2/100 of a second on a stopwatch. To press and release that fast, you’d have to be trying on purpose and it would still be very difficult!
But to comment on the latch idea, I was able to make a sort of reset with nothing more than a 2.2k ohm resistor. The 2.2k ohm resistor would go between the +5VDC and the input, and the job of the output would be to short the input to ground (the resistor there to protect the +5VDC from being shorted directly to ground as well).