open up a cmd window and type java -version
If the old version comes up then it's just a matter of identifying where the binary lives, a clue would be to look at your PATH environment variable.
Another gotcha in Java land is that you can have both JAVA and JRE installed.
JAVA is the compiler and runtime interpreter
JRE is the just the runtime interpreter
Normally you if you have installed JAVA you don't need to install JRE as it's already bundled with JAVA. Check to see if you have both installed and if so then consider removing the JRE.
Another gotcha is some bigger Java apps install a JRE inside the app. Sometimes when they release stuff they forget to bundle the correct version of Java and tell you about it and how to fix it in the RELEASE_NOTES (who reads that!). Sometimes installing the JRE is an option during the installation of the Java app, if so, then the RELEASE_NOTES may say something about that. Now where to find the location of the RELEASE_NOTES?
I can't see the SSD disk being an issue unless it came with management tools that need a JRE to run, in which case try putting the tool path location at the end of the PATH environment variable.
Goodluck.