These burp cloths make excellent baby shower gifts.
I've seen this tutorial everywhere, like here and here. I originally thought it was just too simple to give as a baby shower gift, but then I realized that many people don't realize how little effort these require. Plus, they use very little fabric, so they are both inexpensive and a potential scrap buster.
Pieces of fabric are sewn to the middle of commerical tri-fold burp cloths. I bought mine at Target: 12 for $17. From quarter-yard pieces of fabric, I cut 6-inch wide pieces. So my fabric pieces ended up about 17 or 18 inches by 6 inches. Then I turned under the long side seams 1/2 inch, ironed the seams and pinned the fabric to the middle of the unfolded burp cloth (the long way). Then I sewed the two pieces together close to the long edge of the fabric.
To finish the short edges, I serged them across the entire cloth. These are as quick to make as you are hoping they are. I had 8 done in about an hour or so. This pile is for a set of two little nephews arriving soon, so I tried to keep the fabrics boyish (or at least gender-neutral).