An easy way to pass params around a site is too use sessions...
For instance...
On the parent page use the following code added to the button click event. Note this code is in vb.net
On the Child page use the following code added to
' the page load event...
I now this is an example using a textbox and a string variable, but any variables can be assigned to a session item... Just make sure you aren't loading HUGE amounts of data into session items, and you will be fine.