hmm, there is no woman riding the beast in Daniel, hmm,theres no mention of an 8th till Revelation 17,,,he must have shown him a mystery...
It seems like the beasts are described from different viewpoints and more details as time progresses.
In Dan. 2, the iron is seen as a nation that rules over Israel until they are restored to Jerusalem. Dividing and deteriorating until the end when the power is ended.
In Dan. 7, the beast is seen in relation to the resurrections and the kingdom, in more detail in some parts.
In Rev 12, the beast is seen with the dragon Spirit in relation to the coming of Jesus, the kingdom, and the times of the gentiles.
Rev 13, is showing the rise of Rome the gentile empire and Rome the religious empire.
Rev 17, shows Rome in it's different phases until the end, perdition, 2nd death.
All these are telling the same story, adding details to the description of the Roman beast.