you could match either the green or the grey in your fabric and then choose a color further down the strip (lighter) from the exact match.

Do you have pillows in that fabric? Are they zippered? If so, take the pillow out, turn the cover inside out, and match one of the colors from the wrong side. You'll get a lighter, more subtle color that will go beautifully with your furniture. I read this in a House Beautiful blog.

They don't have zippers. Im just looking for a color palette direction to go in, whether it be light green, butter yellow, light brown....

I really like Sherwin Williams ancient marble. Depending on the light in your room it will look more beige, green or light grey. As the sun moves in your room, the color changes.

How about BM Limestone? http://www.benjaminmoore.com/en-us/paint-color/limestone

Very soft light, green without yellow tones in it. Almost a neutral green. Maybe Benjamin Moore Celery Salt or Cream Cloak (sounds cream but it's soft light green) or a shade darker depending on how much light you get in the room.

I know it’s been some time, but do you have any idea who manufactured the fabric or pattern name or source? We have the same fabric on some vintage chairs we bought and would love to make coordinating pillows. Thanks for any help you can provide.

Etsy Listing

Keep in mind you can use fabrics that have the same colors. Pillows don't have to be the same pattern.