Train from Guilin to Hong Kong ?

Dear Sirs,
in September we will visit your country and we want to
travel with train from Guilin to Hong Kong.
As we have some problem with booking the ticket we kindly
ask you how to arrive from Guilin to Hong Kong.
It is possible to take the rail from Guilin to Guangzhou
(cca. 3h travel) and from Guangzhou to Hong Kong (cca.
2h travel).
Looking forward for your answer.
Have a nice day.
Ana