Hi Chinmay,
Using the MouseMove operator in Windows.Input this is not possible, as it uses the data from the single OS mouse cursor.
However, using the Mouse operator in the Shaders.Input package you can specify the Index for which mouse you want to read from. The tradeoff is you have to poll it rather than respond to OS-events, for example using the UpdateFrame event as an input, like so:
Beware that if you try this on your laptop, your touch-screen and mousepad may show up as two different devices (as in my case), so an external mouse will actually be Index 2, and not Index 1. Play around a bit with the indices until you get it to work.
Hope this helps.