Red scalp

Has anyone experienced a red scalp associated with eczema? I have eczema on my palms, fingers and in a section of my right foot/heel.

My scalp used to itch until I used a tar shampoo on it about once a week but the itching stopped when I changed to Garnier Fructis shampoo; I didn’t switch because of the eczema, i just wanted to try it. Now I use it all the time but I still have a red scalp and sometimes I feel self conscious if the wind blows my hair around so I usually just keep it under a hat or in a ponytail.

Any comments would be great. thanks!