gents thank you for the replies. An update.
I found a clip on Youtube on how to drill a stud that had snapped below the surface. Mine is above the surface but it gave me an idea on how to make a guide.
I used a 10mm joining nut on a 10mm bolt, I added a single 10mm nut and locked the joining nut and ordinary nut together. I cut the bolt to the length of the two nuts. placed the lot into the chuck of the lathe holding by the joining nut and pushed back in the chuck so the single nut was clear of the jaws. I then centre drilled and followed this with a 4mm hole all the way along the length of the bolt.
I made three using the process above, the other 2 had a 6 and 7.5 mm hole. The two nuts were then separated and the bolt removed. The joining nut then screwed onto the snapped stud that was on the engine. The drilled bolt with the 4mm hole then screwed into the joining nut. I had a guide.
Things had gone well to this point but my 4mm drill bit would not touch the broken stud and so I turned to the forum.
Whilst getting replies I changed the 4mm guide for the 6mm guide, not sure why. Anyway the 6mm drill bit worked. My cordless drill went flat so had to recharge it. Then progressed to the 7.5mm guide. I was not gentle enough, the bit bit got stuck and sheered the rest of the stud as the walls were now thin.
Anyway I progressed all by hand and no guide, 7.5, 8.5, 9, 9.5 and then finally 10mm.
OMG the guides were brilliant, if it were not for Youtube I would never have gotten the idea on how to create a guide.
In the end I think the problem was the 4mm bit not being very good. I apologise if I have wasted your time but when I posted I was desperate and you guys I thought would know.
thank you for the advice. now to order a nut and bolt
all the best