I've put 2 photographs in a new album (drilling to depth in lathe) to show how I do this – you might not be able to adopt the method directly (depends on what kit you have – I have a DRO on the lathe, plus a Dickson toolpost that has 3 mounting faces, which combine to make it very easy) but it might give you some ideas.
It's simple, quick and effective. Put a bar in the toolpost, with sufficient protrusion to contact the nose of the drill chuck. Put the drill point up against the work, lock the tailstock and barrel , then move the saddle to the right until the bar contacts the front of the drill chuck, as per first photograph.
Now move the saddle to the left, a distance equal to the required depth of drilling – second photograph. (DRO, saddle handwheel, DTI, ruler?)
Lock the saddle, drill until the nose of the drill chuck touches the bar again, and you've drilled to depth. But be careful when touching the bar, a screw feed tailstock can push a locked saddle along if applied with enough enthusiasm, and that would mess up your pre-set depth.