Ugh. This is an ugly topic. To compound things, go to Costco and have that photo printed...and you'll see a third, different iteration.
Remember how we'd have to play with brightness/contrast/hue/whatever knobs on our old color TVs? And if you were in a department store looking at a wall of TVs, the same picture varied by model?
So, too, is it with monitors (and photo printers, to a degree).
The way to fix it is by calibrating the monitor. It's pretty complicated. What I'd suggest for you is finding a picture that you know the colors of (even maybe a multi-color sample from online), putting the monitors side by side, and tuning them so they match.
Also, see here: