That's a rolling block pistol, from $1 to much more, depends on condition.
Try posting at Remington Society of America.
I too have a rifle matching this description. Any information would be of interest.
It's probably a model 4 but you need to identify it, then it's all based on original condition, condition, and condition to determine value.
I received a similar rifle from my grandfather. He had a letter from Remington stating the rifle was manufactured between 1900 - 1907, if I remember correctly.
The 1894 was a side by side barrel the 1893 was the single shot
What is the value of a Remington 29 T 32 barrel worth in great condition
50 USD
Somewhere between $30 and $3000. Everything depends on make, model, and condition.
$1000
is about 3,695
Depends on who made it, accessories, condition, etc.. Could be 100-10000 USD
That's a Model 12C made in 1913, in mint condition it's a solid $1,200 but value drops QUICKLY in lesser condition.