Can we use neither without a verb?

The OED has an entry for this: It is valid in Caribbean English but not current in British or American English

Neither

2. Negating a second or further alternative (usually following a previous negation): and not —— either, nor yet, nor moreover, and not, also not.

a. Introducing a prepositional phrase, noun phrase, postmodifying phrase, etc. Now chiefly Caribbean.

1560 J. Daus tr. J. Sleidane Commentaries f. xxvv He said it was a matter newly invented, neither used in former time. 1937 P. M.

1937 P. M. Avery Interview 19 Mar. in C. L. Perdue et al. Weevils in Wheat (1976) 16 I couldn' walk, neither set down.

1996 R. Allsopp Dict. Caribbean Eng. Usage 403/1 She don't talk to me, neither the children.