I'm glad to have found Ballantyne's edition of the Mahābhāṣya with Kaiyaṭa and Nāgeśa's commentaries, in the Digital Library of India collection. The edition is from Mirzapore, 1855 (bibliographical details).
Here are some representative pages from it:
bhāṣyapradīpena vivaraṇena ca sahitaṃ
kāśyāṃ rājakīyapāṭhālaye śrīmadvālaṇṭainnāmaka-
alaṅkārapaṇḍitaiś ca saṃśodhitaṃ
mirjāpurapattane trivedidurbaliśarmaṇā saṃśodhya mudrākṣariar upanibaddhaṃ
// san 1855 īsvī //
So now we know that Ballantyne was aided by Nārāyaṇaśāstrī [and?] Devadattadurgodattaśarmā, specialist(s) in vyākaraṇa, and with Caturveda Hīrānandaśarmā, an alaṅkāra paṇḍit. These pandits
edited the text. The sāṃkhya professor Kāśīnāthaśāstrī reflected upon the
text (nidhyātaṃ), which presumably means that he edited the text for content.
The text was edited and typeset in Mirjāpurapattana by Durbaliśarmā.