Thom,
I built an application from a VI that I use to communicate with mySQL and it worked just fine. Did you make sure to define the connection on the target computer (ie, use ODBC Administrator to define the DSN or include the *.udl file with the project and verifying the connection worked)
What OS is your target machine? If it's Win9x or NT, then MDAC isn't included with the OS and you need to install it separately. Chapter 6 of the Database Connectivity Toolset User Manual describes how to do this.