I see and understand but data is data right? 
My crazy idea:
First I output the Data from TinyDB to a TextBox. Then copy it to the clipboard (also can use Taifun's clipboard extension to do this automatically)
I can then store it in a file using SimpleText app on the phone.
Then I use the PC to transfer the text to the receiving phone SimpleText app. On the receiving phone I simply paste the text data into a TextBox and save it to Data:
Tell me if this is not possible?