I have just dismantled a Union (Boxford) pillar drill. I don't know if the Elliott has the same type of quill assembly but the top part on mine mine looks very similar to yours if the photo is showing where the pulley will fit. If, in the picture, the parts showing inside the casting is a gear that engages with a larger gear on a parallel lay-shaft and the part at the end contains drive dogs for the direct driving of the quill, then it is almost the same as the Union. On mine there is a grub screw in the conical part of the casting that holds a spacer between two bearings in place. Slackening the grub screw allowed the assembly to slide out but I think it needed a little encouragement with a brass rod inserted up into the casting and a couple of light blows with a hammer. Having shifted it once it seemed to slide back with little resistance under 'hand' pressure upon re-assembly.
Of course, I could be wrong and the Elliott is different from the Union. I am only going by what I can see in the photograph.
Edited By Chris Crew on 23/01/2023 22:04:53