Sharps never referred to their rounds as, e.g. 45-110. It was 45 cal 2 7/8 in. That round could be had and often was loaded with 120 gr of BP. Even what we call the 50-90 was never loaded with less than 100 gr. Its easy to do with a paper patch bullet. No problem getting near 90 gr of Fg into whats called a 44-77....just seat that PPB out a little farther.
The rifle Quigley used was a 2 7/8. The 3.25 in cases, based on intensive research, were never offered by Sharps. They did appear though in the mid 1880's after the the buffalo were gone. Some Sharps were re-chambered for these rounds in 45 and 50 cal. They offer little or no advantage over the already gigantic 2 7/8 cases and basically fell in disfavor.
If you just gotta have one chambered for a 3.25 case do your homework first...you're better off with the 2.1 (45-70) or 2.4 in cases.