Lawdog: my older Lyman manual shows the 7x61 Sharpe and Hart to be a hair shy of the 7mm Rem magnum in terms of its performance. It is a belted cartridge and is just a hair shorter than the Rem mag but has a sharper shoulder like the 7mm Weatherby Mag.
My loading data shows, and you should also try Steve's pages for all of his incredible loading data, that the 175 gn 7mm bullet in the Sharpe and Hart will get to over 2900'/sec, doing the same as the 7mm mag. The accuracy load for the S&H with the 175 is 55 gn of 4350 for 2659 while the accuracy load for the Rem mag with the 175 is your choice (52 gn of H380 for 2680'/sec or 65 gn of 4831 for 2921'/sec). The factory load for the 175 in the Rem mag is 2875'/sec.
So, for handloaders the S&H gives nothing up to the Rem Mag, but there is no factory load for the S&H. HTH. Mikey.