There are no LQS in Springfield. The owner of the latest one ran it into the ground.
Your only options are WalMart and Hobby Lobby. WalMart is on Veterans' Parkway on the far west side of Springfield (from I-55 northbound, take the I-72 exit westbound toward Jacksonville. Continue about 3.5 - 4 miles until you see the exit for Rt. 4 / Veterans' Parkway. Exit right. Note there is a "no turn on red" sign at the stop light. Turn right. I believe WM is on the left.
Hobby Lobby is on Wabash Ave. (intersects w/ Veterans' Pkwy). Turn right on to Wabash. I don't remember how far east you drive on Wabash, but if you're going eastbound it's in a shopping center on your left.
Your time may well be better spend visiting the Illinois State Museum downtown. They have a world-class textile division (which, I think, includes quilts). Or, check out the Dana Thomas house (not far from downtown). It was designed by Frank Lloyd Wright...and is known around the world.
I've had family living in Springfield for 40+ years and I was there in mid-February for several days.
My brother lives in St. Louis -- which has much more to offer than Springfield. Had a Ted Drew's on Sunday, Feb. 15. Yummy! Clayton and University City are primo! The Galleria isn't too shabby nor is Frontenac. Actually, I just enjoy driving around St. Louis...esp. Forest Park! :D
We were in St. Louis in November for a wedding and nearly went bizonkers with the confusion and chaos surrounding the closing of the I-170 / 40 (?) interchange. I thought CALTRANS (California) was sadistic...they've got NOTHING on MDOT!
Springfield doesn't have much of anything unisque to offer, quite frankly. Same stores. Same look to the malls. Pot-holes and lousy drivers and the "aroma" of the politics of government. I assume you've heard of the chaos around Gov. Bag O'Wind and the consequences (ongoing) of his arrogance and mis-placed self-importance.
Enjoy the drive on I-55.