Ethanol should not fluoresce. May be it has some admixture? Try to register fluorescence excitation spectrum with an emission at 371 nm, this could give an idea what the admixture could be. May be also the cuvette is not clean enough (previous compound could be not easy to wash out)? This can be checked by taking another cuvette.
First, make sure the cuvette is absolutely clean. Some detergents (such as Triton X-100) are fluorescent in the UV.
Although ethanol should not be fluorescent, you may be witnessing Raman scattering. The way to tell is to see the effect of changing the emission wavelength a little at a time on the peak emission wavelength. If the peak emission wavelength shifts in the same direction, it is Raman scattering, not fluorescence.