Does sodium ethoxide (sodium ethanolate) have a boiling point, or does it decompose?
Yes, sodium ethoxide starts to decompose on heating and thus its boiling point cannot be determined. According to [1]:


  The decomposition of sodium ethoxide is observed to start above 573
  K agreeing well with that reported by Blanchard et al. The gaseous
  products formed on decomposition were mainly methane and ethylene with
  minor quantities of ethane, propylene and butylene. Solid residue was
  found to be a mixture of sodium carbonate, sodium hydroxide and
  amorphous carbon. However, in an earlier study on decomposition of
  sodium ethoxide, by collecting and condensing the evolved gases in
  liquid nitrogen and analysis by gas chromatography, the authors have
  reported the gaseous products to be mainly of ethylene and minor
  quantities of propane, heptane, ethanol and water. The authors have
  also stated that the non-condensable gas at liquid nitrogen
  temperature could be hydrogen or methane. The TG trace for
  decomposition of sodium ethoxide in their study indicated a slow and
  steady decomposition right from 273 K with a sharp weight change above
  573 K which implied that the sodium ethoxide could contain some
  amount of ethanol and moisture that evaporated on heating.[...]


Reference:


Chandran, K.; Kamruddin, M.; Ajikumar, P.; Gopalan, A.; Ganesan, V. Kinetics of thermal decomposition of sodium methoxide and ethoxide. J. Nucl. Mater. 2006, 358 (2-3), 111–128. DOI: 10.1016/j.jnucmat.2006.07.003.