Either clamp it to the lathe faceplate and bore it, or make a "sub-faceplate" out of a piece of flat bar or plate. I use 10mm thick aluminium alloy flat bar about 50mm wide and 150mm long for this. Then drill and tap a couple of pairs of 6mm holes in the plate, strategically located so that a pair of clamping bars, — cut from 20mm x 5mm or so steel flat bar with two holes drilled to match the tapped holes in the base plate — can be held held down with 6mm screws.
It looks like you will need to put a bit of packing under your job so it sits on the square face. I use makeshift "parallels" cut from a length of 6mm square keysteel or bar for this.
Attach the job to the plate, then bolt or clamp the plate to the faceplate. I have a hole drilled each end of the plate so a bolt goes straight through and thtrough the faceplate. Then I use a clamp on the other end to allow movement to adjust it to get the job centred.
A bit of mucking about, but I use that sub-faceplate over and over again for drilling and boring small parts in teh lathe where I want more accuracy than my cheap Chinese drill press will give me (I found its table is half a millimetre out of square with the spindle!) so its well worth the effort to make up. You could use a piece of steel flat bar if no ally in the scrap box.