@hugo7 I just opened up the wireless button housing (which you need to do to change the battery anyway) then worked out which two contact points on the switch set off the doorbell when shorted and soldered two long tails to those. The other ends go to the contacts on the back of the brass button. Drilled a 4mm hole all the way through the frame and used a forstner bit to make a recess for the back of the brass button unit. The wireless button still works too.
@hugo7 I just opened up the wireless button housing (which you need to do to change the battery anyway) then worked out which two contact points on the switch set off the doorbell when shorted and soldered two long tails to those. The other ends go to the contacts on the back of the brass button. Drilled a 4mm hole all the way through the frame and used a forstner bit to make a recess for the back of the brass button unit. The wireless button still works too.