Hi all, and thank you for your interest.
The note on the back of the quilt says that the quilt may have been made by Eliza Parkinson, but was 'probably' made by her mother Mrs. Madder, and Reeves is crossed out, or by her Grandmother, Mrs. Reeves. To my mind, this confirms Eliza as born Eliza Madder, and her Mother was born Reeves. And that means that the marriage you have found is probably right for Eliza's parents. It doesn't really help with her birth, though. The dates are difficult to reconcile. I cannot find Eliza's birth, and Ancestry trees have her as born either 1787 or, some people have, 1805. I have posted an alleged photo of Eliza in the photo dating thread, but if you look at that, you will see that people doubt the dates, as did the Guild's curator.
I am grateful for all ideas!