The Wikipedia "Gauge 2" page says, rightly or wrongly, "standardised in 1909 at 2 in (50.8 mm), a 20% reduction and a change in definition: from mm to inch. It has since fallen into disuse. The gauge was introduced by Märklin at the Leipzig toy fair in 1891. Gauge 2 was equivalent to a 1:22.5 scale."
The "Wide Gauge" page says "Called Standard Gauge by Lionel, who trademarked the name. Other manufacturers used the same gauge and called it Wide Gauge. Not widely produced after 1940. Gauge No. 2 using track of gauge 2" (50.8 mm) was one of the standard model gauges in 1909." It refers to a scale of "1:26.59 or 1:28.25".
So, still no reference to a 1:22.5 scale on the "Wide Gauge" page, but at least they both mention 50.8 mm gauge. As I've said above, I must measure carefully yet again.
Regards,
Geoff