There is an excellent modern discussion of al-Zuhri, his life, works and legacy in the eighth chaper of Azami's Studies in Early Hadith Literature: Mohmammad Mustafa Azmi "Studies in Early Hadith Literature: with a Critical Edition of Some Early texts" 1st edition 1968, 3rd edition 1992 used, American Trust Publications
Our sources do not agree about his name. The form used in the text comes from Ibn Ishaq where it appears on page 4 of Guillaume's translation of "Sirat Rasul Allah". On the other hand Ibn Sa'd (in Ayeasha Bewley's translation called "The Men of Madina – vol II, pages 273–81) first says it was Muhammad ibn 'Ubaydullah ibn 'Abdullah ibn Shihab and then quotes him as saying his name was "Muhammad ibn Muslim ibn 'Ubaydullah ibn 'Abdullah ibn Shihab ibn 'Abdullah ibn al-Harith ibn Zuhra
(Ibn Qayyim, a`laam al- Muwaqqi'in, vol. 3, [Beirut: Daru'l-Jayl], p. 85). This statementhowever did not prevent al-Laith from quoting many hadiths from al-Zuhri if we are to believe the isnads in al-Bukhari