Harry,
I assumed you had the Greenly version, as you mentioned having a cast iron base, and the photo is that of a Greenly (smaller cylinders, two base plates). The HA Taylor version has a single cast Al base (roughly 25” long) that was optionally supplied pre-machined.
The year 1901 for the Greenly version of the Undertype came straight out of Stuart’s 1973 catalogue when they released the HA Taylor version, and is the same date used in all their subsequent catalogues until they ran out of castings. I am guessing they only produced one lot of castings. I too have seen a couple different dates for the Greenly version, but assume Stuart is probably most correct since they produced the castings.
I have both the ME articles by HA Taylor and the German book for the Undertype. I have crudely translated about half the German book to English, and it doesn’t seem to provide any value add over the ME articles, other than including one or two photos that aren’t in the ME articles. The German book also translates all the dimensions they show to Metric which is confusing (to me) given there are still many dimensions you have to read off the original MEplans that are still Imperial. If you have neither, then I would suggest getting the ME articles if you can track them down. They are light on how-to's, but do explain what some of the parts are for that isn't easily derived from the drawings alone. If needed, I can supply you the volumes/edition #’s. I have seen a couple used sources online for the German book should you want that too. And complete new sets of replacement drawings appear to be readily obtained from a number of online sources as “ME Undertype”.
Robin