black body source and the Stratosphere is near the effective gray body "shell" it only make sense that the Stratospheric temperatures would make a good proxy for ocean heat content. The Stratospheric temperature change is inversely proportional though, so in the chart above i have inverted the 25 month moving average of the UAH NH and SH Ocean stratospheric temperature series. The 0-700 meters ocean heat content (OHC) in 10^22 Joule units is from NOAA National Oceanographic Data Center. I just tweaked the Open Office scaling a touch to over lay the two sets of data. The fit is not perfect, then the OHC data is pieced together for most of the time period.
I guess I could try to be more precise, but since there is quite a bit of uncertainty in both sets, that would likely be a waste of time. As general fits go, this is good enough to amaze your geeky friends