It is the kind of metaphor that will have been used for as long as tapestries have been around. Many of them were allegorical in nature, it's inevitable that analogies should develop between them and life itself. Cf. the expression "the book of life". Also, they were often rolled up for transportation and it's easy to imagine the excitement of watching them unfold again, like a story, or the way life itself "unfolds".
Many creation myths see the world as woven into existence, here is just one article on that subject but it's an interesting one
http://en.wikipedia.o...aving_%28mythology%29
Schopenhauer also comes to mind - he compared the first and the second half of life to the right and the wrong side of an embroidery. Search this page for "embroidery" and you'll find the spot
http://www.westernrev...unsels_and_maxims.htm
And last but not least... ♫♪ my life has been a tapestry of rich and royal hue ♪♫
https://www.youtube.com/watch?v=s7q-1OAbNXg
(I think my point here is nobody and everybody said it first. We say it in Swedish too, BTW.)