  In this note we consider homogeneous Willmore surfaces in $S^{n+2}$. The main
result is that a homogeneous Willmore two-sphere is conformally equivalent to a
homogeneous minimal two-sphere in $S^{n+2}$, i.e., either a round two-sphere or
one of the Bor\r{u}vka-Veronese 2-spheres in $S^{2m}$. This entails a
classification of all Willmore $\mathbb{C} P^1$ in $S^{2m}$. As a second main
result we show that there exists no homogeneous Willmore upper-half plane in
$S^{n+2}$ and we give, in terms of special constant potentials, a simple loop
group characterization of all homogeneous surfaces which have an abelian
transitive group.
