I have the original Lost in time disk, (which allows you to make a backup disk) by the way to save wear and tear on the original. I had no problem getting it to run in Dosbox.
Even better the Dosbox site has Front-ends for download making life easier. I downloaded the one named, D-Fend Reloaded. What that does is you can associate it will all your old games. You then have a D-Fend icon on your desktop. Put the game disc in your drive click on the D-Fend icon and a list of games you have installed pops up. simply click on the one in your drive and the game loads automatically. No codes to type in or drives to mount. D-Fend does all that for you. Both GK1 and Lost run flawlessly in Win7 and XP.
It was not hard to set up, pretty easy in fact. I have GK1 and Lost installed for a couple years now. With this front-end all you have to do is click on the icon and the game starts. Of course you need the disk in the drive. Loads the same in XP or Win 7 as any new game.
I suspect this guy did something similar with the disk he created. Check out D-Fend at Dosbox it will save you buying any tweaked versions of disk you already have.
There are several front-ends offered but D-Fend is the one I started with. I did not try the others so I cannot comment on them. If I could setup D-Fend believe me anybody can. It comes with instructions. I believe you need Dosbox installed first. I do not remember if D-Fend installs DosBox, it might. In Fact you can use D-Fend to do the initial game install rather than installing through DosBox.
Just Remember do not install any old games to Program Files folder. Make a games folder on your hard drive somewhere outside of Program files. These old games generally place saves in the game folder. Program Files will not allow writing to that folder it cannot write the saves in that location. Your game folder must be outside Program files. I find My Documents a pain as stuff gets scattered in there and often there is a massive hunt to find things. How many times have you seen people asking, "Where did they put my saves. A folder named Games @ C:/Games is much easier.
Check it out it may save you a lot of time and money. It will make running games in dosbox a lot easier. DosBox