1. Some insects bear a remarkable resemblance to dead twigs, being long, wingless, and brownish in color.
I wouldn't myself call this a dangling modifier, since the subject of the first clause is the same as the implicit subject of the second clause. ("Some insects look like X, because they are...")
This however dangles:
2. Being long, wingless, and brownish in color, he mistook the insects for dead twigs.
("Since he was long, wingless, etc., he mistook...")
MrP