Have you tried lifting that corner of the car in the air and spinning it, to see where the noise is coming from?
Two common culprits - brakes touching the rotor (stuck caliper, jammed piston, brake pad contamination, etc.) or bad wheel bearing. Those tend to make a high pitched grinding or groaning noise. Since the noise doesn't seem to change when braking - I'd lean toward a bad wheel bearing being the source of the noise.
2002 Toyota Corolla S, 1.8L 1ZZ-FE VVT-i
2003 Toyota Matrix XRS, 1.8L 2ZZ-GE, VVTL-i (RIP)
2009 Toyota Matrix XRS, 2.4L 2AZ-FE VVT-i
2009 Toyota RAV4 Limited, 2.5L 2AR-FE Dual VVT-i