You will have to make you own version of the 4081. Follow the instructions in the Wiki to create your own library. Export the AND gate from the 74 library and import it in to your new library. Edit the pin numbers. Save the part. Once you have your new part go to your schematic and right click on the AND symbol, and select "Replace Symbol". Replace you existing symbol with your new one, and all should be well.
See here: Wiki and scroll down to Multiple Parts Per Package. This should give you the functionality you require.
Albin, I have been away for Christmas, but I have just had a chance to look at this and I have a fix for you, if you'd like to try it. Please email me admin@tinycad.net directly and I can send you a test version. Thanks, Matt.
Wrong "Go to TinyCAD web site" help menu item.
I have fixed this for the next release.
Initial commit