Hi,
The method of making very small hole by hand holding the drill bit is a "standard" trick. I use a graver to catch the hole/rotation centre rather than a centre drill (which is generally too large for the job). See the videos below for my take on it:
Gravers:
Catching a centre:
Drilling:
The finished hole:
(The last video includes the workshop cat and the little kid from next door who always came round when he heard the "Grumpy Old Man" doing stuff in the workshop)
The reason the method works is simple physics:
If you have a rotating drill and a fixed work piece, the drill has an axis of rotation and there are cutting forces on both lips of the drill bit – the forces are not equal (the drill bit will not be perfectly symmetrical) and so as the force on one side of the drill bit is greater than on the other, the drill bit gets pushed off axis and the hole "drifts"
If the work rotates, the same physics applies and the drill bit will move until the forces on each side of the drill are equal – this happens no matter how deep the hole is, the drill bit is always forced towards the axis of rotation of the work piece
Holding the drill in a fixed (i.e. tailstock) chuck results in a conflict between the path the drill bit wants to follow and the path being forced on it by the chuck – this can result in a small drill bit snapping. With very small diameter bits, it is best to hold the bit by hand to allow it freedom to "float" – it also allows you to let the drill "slip" in your fingers if/when the drill grabs, or something else goes wrong
I've been using lathes for 50 years and have broken loads of things in that time, but I've never snapped a small drill using the above technique
All the best,
Ian