Rifle found in walls of 1880's era house. What is it?

[Researcher]

You might do better posting this question in the rifle section.

It looks like you have a solid frame Remington No. 4 Rolling Block Rifle. The No. 4 was introduced by Remington Arms Co. in 1890 as a light "boy's rifle" in .22 rim fire with a 22 1/2 inch barrel or in .32 rim fire with either a 22 1/2 or 24-inch barrel. Looks to me like your example is a .32 RF. In 1898 they added The .25-10 Stevens rim fire to the calibers offered. From 1890 to 1901, Remington Arms Co. made 157,595 solid frame No. 4 rifles.

For 1902, Remington Arms Co. "improved" the No. 4 by making it a take-down rifle where the barrel could easily be removed from the receiver by a twist of a lever on the right side of the frame. Remington Arms Co. made another 96000 of these through 1910. The No. 4 continued through the Remington Arms - Union Metallic Cartridge Co. years 1911-16, the Remington Arms - Union Metallic Cartridge Co., Inc. years 1916-20 and well into the Remington Arms Co., Inc. years, last appearing in 1932

[ChuckD]

I agree that it's a Rolling Block. However I question if it's Remington.
This is based on the fact that the hammer is off-set to the left.
I don't have a solid frame to compare with, but on all of my #4's, the hammer is centered on it's base.