Grading: Its narrators are "la ba'sa bihim" (that is, the chain is acceptable), as has passed earlier at number (4378).
Technical note / Identification of narrator: "Abu 'Ulathah" is Muhammad bin 'Amr bin Khalid al-Harrani. "Ibn Lahi'ah" is Abd Allah bin Lahi'ah, and "Abu al-Aswad" is Muhammad bin Abd al-Rahman, known as "Yatim 'Urwah" ('Urwah's orphan).

Reference / Source: Imam al-Tabarani narrated it in "al-Mu'jam al-Kabir" (no. 1401) from Abu 'Ulathah with this same chain.

Corroborating chains and supporting reports: In counting Tha'labah bin 'Anamah (may Allah be pleased with him) among the Companions who fought at Badr, 'Urwah bin al-Zubayr is supported by Ibn Shihab al-Zuhri as well (see: Ibn Abi 'Asim's "al-Ahad wa al-Mathani" 1824, and Abu Nu'aym's "Ma'rifat al-Sahabah" 1399). Ibn Shihab also agreed with 'Urwah regarding his martyrdom in the Battle of the Trench (al-Khandaq), as al-Tabarani narrated from him in "al-Kabir" (1403).

Corroborating chains and supporting reports: Ibn Ishaq also agreed with 'Urwah and al-Zuhri that Tha'labah (may Allah be pleased with him) took part in the Battle of Badr and was martyred in the Battle of the Trench (see: Ibn Hisham's "al-Sirah al-Nabawiyyah" 1/463).
Technical note: Al-Daraqutni mentioned in "al-Mu'talif wa al-Mukhtalif" (1/235) that Ibn Ishaq gave his father's name as "Ghanamah" (with the dotted ghayn), not with the undotted 'ayn.

Technical note / Defect ('illah): However, it is also narrated from 'Urwah bin al-Zubayr through another, "weak" chain (see: al-Daraqutni's "al-Mu'talif wa al-Mukhtalif" 3/1590) that this Tha'labah bin 'Anamah was martyred at the Battle of Khaybar.