The theory for electronically nonresonant coherent Raman scattering using incoherent light (I-(2)CRS) is presented for a Brownian oscillator material response. The exploration of Raman Line shapes is based on two different approaches, both of which incorporate the Brownian oscillator model. The first takes the Raman transition as a two-level system that is indirectly coupled to the bath through "primary" Brownian oscillators. The I(2)CRS signal in the overdamped, high temperature regime is calculated analytically using this approach. The second approach is the standard one in which the Raman transition itself is represented by primary Brownian oscillators that are directly coupled to the bath; This method permits analytic calculation of the I(2)CRS signal for the entire parameter space and also for a distribution of oscillators to account for inhomogeneous Linewidth broadening. These two methods allow for different interpretations of Raman line shapes using noisy light spectroscopy.