7/8 x 9 tpi is 7/8 BSW. Fortunately, when I wanted to make a 7/8 x 9 to Myford adaptor, a kind friend loaned one to me for this One Off job. (See M E W 310 for the context )
Bolt to the faceplate, for drilling, boring and tapping (Tapping size is 19..25 mm, 0.7579" in old money, or 3/4" as the nearest standard size drill. But 19 mm would be closer if you can borrow one.
You may be able to find a secondhand Tap since BSW is now very much non preferred.
With a small lathe, and low power, metal will have to be removed in small stages so a lot of cuts needed to open up to tapping size.
Once the bore is to size, it is time to engage back gear, or use a mandrel Handle.
It is likely that once the tap is well started in the hole, the embryo backplate will have to moved to the vice to be gripped whilst the Tap is turned by sheer muscle power.
if you can produce the 7/8 BSW thread, the backplate blank will fit onto the lathe spindle.
I would be inclined to face the backplate, and bore the register for the spindle, if there is one, at this point..
Once this has been done, it can be reversed and faced and the OD turned to suit the register in the 3 jaw chuck.
To mark the position for the securing bolts, make up three short studs with pointed ends.
Use one to mark the position of the first securing hole, so that it can be drilled clearance size. Fit the two other pointed suds to the chuck, and with the backplate located in the chuck register, and secured by the one bolt, mark the position of the remaining holes, so that they too can be drilled clearance.
The holes can be larger than normal clearance, if this helps, since the location is by the register. The bolts are there to hold things in place while the chuck is being used (Ideally, the register OD should be a really snug fit in the chuck ).
HTH
Howard