I'm not sure you'll get the proper results using the Color Replacement Brush since, almost by definition, Black is the absence of color. More specifically, if you replace whatever underlying Hue that black shirt has, it will still have 0% (or thereabouts) luminosity.
I think the best way to turn Black into White is to use a Selective Color adjustment. The drop-down menu has choices of Red, Green, Blue, Cyan, Magenta, and Yellow. More importantly, it has choices of Whites, Neutrals, and Blacks.
1) Leave all the Color choices alone, and skip right to the Blacks (on the drop-down menu, that is). Use the Slider for Blacks (at the bottom of the panel) and slide it all the way (or nearly all the way) to the left.
2) Invert the adjustment layer (Cmd-I on a Mac; Cntrl-I on Windows) and paint with White to bring back the adjustment ONLY on the shirt (the area you're attempting to change).
3) You might need to twiddle the Neutrals and Whites menu choices a bit, based on your picture. But, this should get you the result you're after.
Another method you might try. I put a 15% Grey fill layer on top of the photo, masked out everything but the shirt, and set the Blend Mode to Linear Light. This might even be a more convincing result (maybe just in this situation - don't know!)
