Wolfie, if its a standard size, you can turn the end of a 13" piece of silver steel to match the angle on the end of a drill. File/mill the end to make a thinner flat blade about as long as the diameter, then file on two cutting edges. Harden and temper (only the end needs to be hard enough to cut). This will work for holes as long as you dont force it and clear it often.
If you do a bit more work the ideal is a spade drill – choose a rod about 30-25% narrower than the hole needed heat the end of the rod to red heat and flatten it out to make a broader end, but don't quench. Turn it to the required width. Now form the cutting edges on the end. Harden and temper.
This is the way nearly all drills were made and I have a few very small professionally made spade drills.
Neil