From a drawing in 'Les Chroniqueurs de l'Histoire de France depuis les origines jusqu'au XVIe siècle', Henriette Witt, 1884.
Source Firkin
You guessed it – looks a bit like cloth.
Source Peax Webdesign
No, not the band but the pattern. Simple squares in gray tones, of course.
Source Atle Mo
A seamless pattern of "sewn stripes" colored in light gray.
Source V. Hartikainen
Prismatic Groovy Concentric Background 3 No Black
Source GDJ
Prismatic Groovy Concentric Background No Black
Source GDJ
Like the name says, light and gray, with some small dots and circles.
Source Brenda Lay
Zero CC tileable brick texture, photographed and made by me. CC0
Source Sojan Janso
You know I’m a sucker for these. Well-crafted paper pattern.
Source Mihaela Hinayon
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
A seamless background drawn in Paint.net and vectorised with Vector Magic. The starting point was a photograph of drinking straws from Pixabay.
Source Firkin
Fix and cc0 to get the tile this is based on.
Source SliverKnight
Alternative colour scheme. Not a pattern for fabrics, but one produced from a jpg of a stack of fabric items that was posted on Pixabay. The tile that this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i.
Source Firkin
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
Small gradient crosses inside 45-degree boxes, or bigger crosses if you will.
Source Wassim
Did anyone say The Hoff? This pattern is in no way related to Baywatch.
Source Josh Green
A seamless texture traced from an image on opengameart.org shared by Scouser.
Source Firkin
This one looks like a cork panel. Feel free to use it as a tiled background on your blog or website.
Source V. Hartikainen
Prismatic Chevrons Pattern 5 With Background
Source GDJ
The name alone is awesome, but so is this sweet dark pattern.
Source Federica Pelzel
A seamless pattern from a tile drawn in Paint.net and vectorised in Vector Magic
Source Firkin
A blue gray fabric-like texture for websites. An yet another fabric-like texture. It has subtle vertical and diagonal stripes to it.
Source V. Hartikainen