What breed is that?
Barred Rock is usually BR, and Gold Laced Wyandotte is usually GLW.
The longer name for Barred Rocks is "Barred Plymouth Rock," which has the same letters you used but in a different order. (Barred is the color, Plymouth Rock is the full name of the breed.)
That is definitely worth a try, and generally works, but in this case it might not.
If the other is close enough to laying her first egg, they might be too similar to tell. I've had that problem a few times.
Sometimes careful nestbox-watching, or isolating one hen, are the only ways that really work.