Just because you have selected a picker for your monitoring parameters, doesn't mean you can't add more information to the cell!
When you do a treatment on the iPad, enter the value you would like from the picker (initials, drop down, or numbers for temp etc). Press Next. The treatments will automatically scroll to the next item, but tap anywhere on the screen to exit out of that. Now you can either tap on the cell with the value in it to view what's in the cell, but not change the value. Or, you can press and hold the cell again, and you will see the keyboard appear, with the value in the text area. From here, you can simply start typing, to enter text after your value that was already saved from what you selected previously with your picker.
Through the web, just enter your parameter value and any text you would like into the cell.