
The Quilt Story by Tony Johnston and Tomie dePaola, 1985.
A woman (at some point in the 1800s, from the pictures) makes a special quilt for her young daughter, Abigail. It has Abigail’s name on it and a pattern of falling stars. Abigail loves it!
Abigail uses the quilt all the time, not just in bed. She has tea parties with her dolls on the quilt, hides under it when playing hide-and-seek, generally taking it everywhere and playing all kinds of games with it. The quilt gets worn and torn in the playing, but her mother mends it when necessary.

Eventually, Abigail and her family move to a new home, traveling in a covered wagon. Everything in their new home seems strange to Abigail, but her old quilt comforts her.

Eventually, when Abigail is older, she puts the quilt away in the attic, and people forget about it. Still, animals use the quilt. A mouse makes a nest it in. A raccoon hides food in it, and a cat naps on it. Then, one day, another girl finds the quilt in the attic. She loves it and brings it to her mother to be repaired.

Like Abigail, though, the modern girl’s family soon moves to a new home, where everything seems new and strange. However, the old, familiar quilt comforts the girl once again.

This is a gentle, comforting story that would make nice bedtime reading or a story that could be read to a young child who is moving or has recently moved, reminding them that, even in a new place, you can bring a sense of home and the familiar with you.
The book is currently available online through Internet Archive.