And there are different diameter earless ones, IIRC. To make things even more difficult, there are apparently two 1081 lids that aren't the same size. Finding a match is often a frustrating task.
Edit: Here's the breakdown for smooth bottom Wagner 1088:
3 versions
1. With pour spouts, 1081 lid with concentric rings on top.
2. With pour spouts, smaller than above, 1088 lid with concentric rings on top 2 zig-zag basting rings on the under side. 1068 lid for a #8 skillet fits this version as well.
3. No pour spouts and has an assist tab handle. A C-8 glass cover fits it. Since a C-8 also fits a 1268 DO, a 1268 DO cover should also fit this 1088.
My mother has a no spout, no tab version, but I don't know where it fits in all this.