Fabric pattern 2 (colour 6) #2391
Fabric CC 0Not 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
More Textures
Polonez Pattern@2X #335
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Fall Leaves #243
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Arrows pattern #1722
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Weave #733
Wall CC BY-SA 3.0Medium gray pattern with small strokes to give a weave effect.
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Dark Wall #1253
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Textured Grid Paper #1316
Orange CC BY-SA 3.0A tile-able background for websites with paper-like texture and a grid pattern layered on top of it.
Source V. Hartikainen
Fabric of Squares@2X #1096
Light CC BY-SA 3.0As far as fabric patterns goes, this is quite crisp.
Source Heliodor Jalba
Background pattern 291 #1931
Dark CC 0To get the tile this is based on, select the rectangle in Inkscape and use shift+alt+i.
Source Firkin
French Stucco #697
Paper CC BY-SA 3.0Fabric-ish patterns are close to my heart. French Stucco to the rescue.
Source Christopher Buecheler
Bedge Grunge #978
Paper CC BY-SA 3.0A large (588x375px) sand-colored pattern for your ever-growing collection. Shrink at will.
Source Alex Tapein
Felt@2X #301
Wall CC BY-SA 3.0Got some felt in my mailbox today, so I scanned it for you to use.
Source Atle Mo
Repeating Wood Straw Background #887
Wood CC BY-SA 3.0A repeating background with wood/straw like texture.
Source V. Hartikainen
Floral design 98 #1783
Dark CC 0From a drawing in 'Art Embroidery', M.S. Lockwood and E. Glaister, 1878.
Source Firkin