Could be the buzzer is worn out, or the button, or the power source is disconnected somehow.
My 1890s home had a doorbell that ran on dry-cell batteries, since it had no original house wiring and was lit with gas. At some point the batteries were replaced with a plug-in transformer and a rectifier (Battery eliminator) located in the butler's pantry, next to the electrically operated panel-board that shows the location of the person who triggered the bell (front, kitchen, parlor, music room, upstairs hall, etc).
A more modern doorbell has a 24-volt AC transformer, often located in a basement, closet, attic or other out-of-the way location. It may have a loose wire or be disconnected from the 125-volt main supply for some reason (unplugged, blown fuse, etc).
If you can't find the transformer, then you may need to get someone to help with a fresh set of eyes.
Personally, I would start with the wires at the buzzer and measure whether there is any voltage when someone presses the button. If not, it gets harder because the button itself may only have "voltage" on one terminal and no access to the "other" part of the circuit to measure. You can test the "continuity" of the button, when pressed, with it disconnected from the wires.