Whitneyville Iron Frame
According to your pictures and the information I found in the Flayderman's Guide, your revolver looks like one of the many variants of the following models (factory listings):
Model #2 1/2, cal .38 RF, 5-shots, Whitneyville markings - Iron frame scarce, worth premium : abt 5,000 made.
Same but marked Eagle Co (tradename): abt 1,000 made.
Flayderman also reports a variant of the so-called "Wide Cylinder" in .22 cal, bearing trade names such as Union N.Y.or Monitor, or even Defender. However, listed .22 cal variants have always 7-shot cylinders.
Whitneyville/Whitney small cartridge revolvers are quite difficult to identify, as there are many variants and few is known about them.
However, I think you can praize yourself lucky, since the iron frames seem to be quite scarce anyway.
I regret I can't tell you more so far.
Marcel