For simple cases, where a manual method is enough, I do the following:
Then, with the help of get coordinates (from the context menu):
imageCut = ImageTrim[image, {{96, 222}, {421, 417}}]
Followed by:
range = {{400, 900}, {2.1, 2.7}};
Graphics[Inset[imageCut, Scaled[{0, 0}], {0, 0}, Scaled[{1, 1}]],
PlotRange -> range, AspectRatio -> ImageAspectRatio[imageCut],
ImageSize -> 400, Frame -> True, Axes -> False,
PlotRangePadding -> 0]
And then you can easily use the Get Coordinates
I know this I not perfect, neither complete. The following post talks a little more on the subject LinkLink.