I generated .class files by the following command:
javac -cp \\directoryName\\external.jar myPackageDirectory\\First.java myPackageDirectory\\Second.java
First of all: you don't seem to compile a class called MainClass and all your .java files seem to be in a package, so I assume that MainClass is just a placeholder and you actually use the correct class name here.
You need to specify a Class-Path header that mentions your external .jar to your manifest.txt and deliver the .jar file together with your jar. You need to do this in addition to specifying the -cp at compile time.