Welcome Ian.......I have a licenced copy of the original manufacturing Drawings, however have never built the engine. From this, I am sure the Lawyers for Mr Westbury would not object to my posting extracts of his M9 Engine here , as they are for technical confirmation or explanation only
The Item 31 Weigh Shaft Arm and Item 32, Lifting Link do have the principal centre dimensions as you note of 1 9/16" and 2 3/16" respectively
I have also shown these superimposed as per the original Drawing over the reversing expansion quadrant
For your Dad to build the engine is a credit to his machining skills, however when you say he was not happy with the operation of the reversing gear, may need more explanation
Fifty years ago, the same dimensions would have been transcribed out on a blued surface, stepped out with callipers, the centre prick punched. The assemblies relied on tolerances on whole numbers with reamed holes & pins with a nominal dimension drawn however in many cases machined to fit the bore. If the dimensional geometry were just a few thousandth's of an inch out....

.......striction can occur
I suspect you find there is a
sweet spot, where the reversing motion just slides over, and a tight spot elsewhere....this certainly is not uncommon on all steam link arrangements
The movement and operation of the reversing gear is probably the most dimensionally critical lot within the engine. Certainly, I see many 5" Gauge engines where during post assembly hot steam tests reveals an operational striction that was not apparent during hand movement
There would have been literally hundreds
+ of the M9 engines built & happily ticking over & reversing
You could consider joining a Model Boat Club, & be frank with the staff that you have a glitch with an M9 engine......you may find a member or two with the same engine and a love for steam that is happy to see & watch your Dads engine & offer comment
Derek