At Michigan's Van Buren County Fair in 1878 Mrs. Joseph Dodge won a quarter for her "Lincoln rail fence quilt." One mystery is what the quilt looked like. Was it the same design we think of when we say Fence Rail as at the top of page and below?
There are many newspaper references to Log Cabin quilts beginning in the 1860s but I have not yet found that combination: Lincoln Log Cabin.
We associate the popular pattern with Abraham Lincoln and we just take for granted it's a Lincoln Log Cabin.