Arcana Coelestia # 9558
9558. 'On one branch' means the power of truth derived from good. This is clear from the meaning of 'branch' as truth derived from good, and consequently power, dealt with above in 9555.
Arcana Coelestia # 4554
4554. 'They travelled on' means a continuation. This is clear from the meaning of 'travelling on' as a further stage, dealt with in 4375, and so a continuation, that is to say, a continuation of the progress towards aspects more interior.