Pieced block, appliqued border, probably 1840-1880
I spent a few pages on the topic of borders in my 1989 book Clues in the Calico, and I haven't much to add to those conclusions. I thought I'd expand on the principles though, because one can add a lot more images on a blog.
Indigo compass or pincushion pattern
with appliqued border.
Most of these photos are from online auctions.
"One more observation that can serve a a weak clue to date: the combination of a pieced border on an applique quilt (or vice versa) is more typical of a pre-twentieth century quilt. [20th century quilters] are far more likely to match applique borders to applique quilts and pieced orders to pieced quilts."
Based on the border I am guessing mid-19th-century.
But you don't see that many antique quilts with the contrasting border technique.
Cut out chintz and pieced border, probably 1840-1860
Border may have been added later it's so incongruous.
Indigo pieced sunflowers and appliqued border
A pieced quilt with an appliqued border
from the Riverside Museum in California, dated 1852.
Swag borders with pieced designs
Applique with pieced borders
It's much more difficult to date a quilt from a photo because you are going on style alone rather than adding important clues like fabric design, quilting pattern, binding, backing, etc.
But this contrast of piecing and applique is a style clue---a weak clue to a date before 1880.
What seems to be more important in dating is the elaborateness of the border. Quilters working after 1880 were not so likely to make such complicated applique borders. A topic for another post.