The rifle shown looks like an upper Susquehanna gun and the attribution to Matthias Muller/Miller is a bit silly, especially given the clearly visible third initial on the barrel.
This aside, there is precious little concrete information available on the Matthias Miller who can be traced to the Easton area prior to and during the War. Matthias/Mathew Muller/Miller was a relatively common name and there are a few of them that can be placed all over SE PA during the 18th and early 19th century. I don't believe the Strasburg MM and the Easton MM are the same guy. During my research into Northampton Co. during the War years, I do recall only one or two references to this guy turning up and nothing specifically referencing him as a gunmaker. The old 19th century county "Histories" of the area refer to him as a locksmith in Easton, but I can;t remember now if there was any hard documentation to support even that. I believe I have a record of a property transaction prior to the War, and if you look in the Moravian gunmakers book, you will see that the Christian Oerter receipt for 50 guns mentions Mathias Miller in the same sentence as Abraham Berlin, both at Easton. It would appear that at that time, anyway, Miller and Berlin were involved in supplying the Northampton Co. militia; well, I know for certain that Abraham Berlin was doing so, as there is a good trail of paperwork available which clarifies his functions, but there is very little concerning Miller.
I'll have to take some time and dig back through all my stuff and see if I had anything else on him. I clearly recall **trying** to find concrete information relative to the guy, but there was just nothing there other than a property transaction or two and some records of births (children) ca. 1770s/1780s era I think.