How to reach Badaling Great Wall by train,bus?

Are your serious? Both rosadale hotel and Lido hotel are located in Guangzhou, and there is no hotels called that in Beijing.

Since you only have 19 hrs in beijing, and the Rosedale hotel (in the Lido area) the fastest way to Badaling is by hiring a taxi for the day, cost around RMB500 including all tolls on the Badaling expressway. otherwise it will be around RMB80 to Dengshengmen bus station, paying RMB12 for the bus fare to Badaling, etc. If there is more than 1 person, taxi is definitely more economical and time saving.

If I were you, for the 19 hrs, I would spend the time going to TianAnMen, the Forbidden City, WangFuJing, QianMen. There's lots to see and do there. It will take a whole day just to see TianAnMen and the Forbidden City. It took me 4 mths going out every Sat & Sun to see the major sights in Beijing, having to work weekdays.