  In a search for B --> ccbar gamma K decays with the BaBar detector, where
ccbar includes J/psi and psi(2S), and K includes K+, Ks, and K*(892), we find
evidence for X(3872) --> J/psi gamma and X(3872) --> psi(2S) gamma with 3.6
sigma and 3.5 sigma significance, respectively. We measure the product of
branching fractions BR(B+ --> X(3872) K+) x BR(X(3872) --> J/psi gamma) = (2.8
+/- 0.8(stat.) +/- 0.2(syst.)) x 10^(-6) and BR(B+ --> X(3872) K+) x BR(X(3872)
--> psi(2S) gamma) = (9.9 +/- 2.9(stat.) +/- 0.6(syst.)) x 10^(-6).
