My mother had several cross-stitch quilt kits in her stash when she passed away and I'm trying to get those done. I'm getting close to finishing the stitchery on another but notice the quilting design is fading to the point that I'm not sure I'll be able to see them once I begin that part of the project. Does anyone have suggestions of how to get those to show up better?

Perhaps use an extra lamp with a yellow light bulb in it - maybe a "bug" light bulb?
The color of the markings will be green, maybe darker?

Can you see enough of it to trace over the design?

put the blocks on a white cloth/paper/sheet with bright light above and see if you can see enough to retrace I assume each block had the quilting markings printed on it. If so perhaps yu can get sections from several blocks to make up one good design that you can trace