Conjoined twins of this degree happen some time after conception, when the two tiny embryos fuse. So yes, the other twin would have had a soul imo, because life begins at conception. However, that second twin, as a separate person, must have died, because the extra limbs do not have a life separate from Laksmi's own body.
As to what happens to the soul of the other twin when this happens, I don't know... :confused1: