Visual Basic = programming language
Visual Studio = programming environment
Visual Basic comes in several flavors, the most common variety people start using is Visual Basic for Applications or VBA. Before the .Net revolution, the next logical step was Visual Basic and the compiler was part of the Visual Studios package. After Microsoft moved to the .Net platform, then Visual Basic .Net became the norm. VB.Net has went through several upgrades over the years, with 2003 being the beginning of the migration.
Visual Studios as a development environment has many programming laguage compilers and development environments, such as Visual Basic, C++, C#, F#, Java, JavaScript, VBScript, HTML, ASP and who knows what else ... those are just the ones that I have used.