both 'Sahih al-Jami' as-Saghir' ,and Sahih Al-Targhib Wa Al-targhib ,are books by Sheik Muhammad Nasiruddin al-Albani......
Though he was a famous scholar ,yet I think his approach in selecting the authentic hadith ,was not strict as it should be ...... In other words ,not every hadith al-Albani suggests to be authentic ,should be so ...
peace