Will these two play on Windows 7. I didn't finish either of them on XP and would like to. However with this computer I now have Windows 7. Thanks for any help given.

What version of Labyrinth of Time do you have?
The version from Wyrmkeep (from 2004) is supposed to work with Vista, according to their website.
http://www.wyrmkeep.com/labyrinth/purchase.html
They may just have not updated the website since the release of Windows 7, but your best bet is to ask over in their forums.
http://www.wyrmkeep.com/forums/

The original version from 1993 probably won't work on Windows 7 outside of DOSBox.

Mystery of the Nautilus will probably not work outside of a Virtual Machine with an older version of Windows installed on the Virtual Machine. It's listed as "Nautilus" under "GAMES THAT WON'T INSTALL, PLAY OR REQUIRE A LOT OF TWEAKING:" in Draclvr's Windows 7 and games thread.

Thanks Jenny I was afraid of that.

Oh, the game was Mystery of the Nautilus - that one wouldn't even play on my XP computer.

At least with Labyrinth of Time there's a chance it will work. The chance of Mystery of the Nautilus working is virtually nil. It usually wouldn't even play on Windows 98 unless the computer still had Windows Media Player 7 or 8 installed.