I found in some German newspaper word weitergewandert and I think it is present perfect of weiterwandern, but I cannot find a translation.
What would be an appropriate translation?
You are right, it simply means "walked on" or "marched on", continuing the course already started, implying that the suject did not stop where it would have been expected.
It is a separable verb meaning that the present tense would be "weiter wandern".
A typical use is for the sun or moon, which simply continue to advance across the sky (despite the horrors that happen on earth and that should have stopped even those stellar objects).