By the location of the writing as well as the writing and even why font is used.
Writing on sides, what does it say, writing on top, one like or two lines, which type of writing slant line, short line, etc, does it have UMC in the works, does it have ribs (monoblock or not), that's the only one with the real difference in the looks other then the size of the hinges and groves style in ejector or hammer. Start with the writing EXACTLY and it's location. That will give you at least type then you need to move to model and then variation.
Remington did not make a 44 cal double barrel pistol. The did however make a 41 cal (rimfire) the double derringer. (model 95) There's 3 type's, 5 models, and at least 15 variations some of which are quite valuable.
value of Remington targetmaster model 41 cal 22rifle
The maker of your Derringer is no longer in business. Sorry-
$50-$75.
$350.00
What kind of shells do you use for a 32 cal 32.auto
The Remington was first made im 1946
Yes
50-300
Remington didn't make a model 54, Winchester did but not in 22 (that I know of), Marlin model 54 is a shotgun.
About $250-300, depending on condition.
About $250-300, depending on condition.