I don't think you can pass parameters to the tooltipmashup; however, you may look into using SessionVariables instead. This thread gives some info on how to use session variables How can I bind the session variable to dropdown list?
Hi Mr. Guo,
You can create some parameters for the TooltipMashupName bound mashup CellBasicInfo.
For my samples, the bound mashup named S1 and I give it a parameter named UserName
After I set up the parameter click save.
Referesh Map mashup page, and on the bottom of the attribute list there will show up the parameter, please bind your username or machine name to this, then you can see these data on the pop-up mashup.
If you have further concern, please feel free to let me know.