What is a sentence correctly applying the pronoun rule concerning one single and or one plural antecedent joined by or nor?

When joining two nouns or pronouns with the conjunction 'or', the compound subject or object should be preceded by the conjunction 'either'.

When joining two nouns or pronouns with the conjunction 'nor', the compound subject or object should be preceded by the conjunction 'neither'.

These rules apply to singular or plural nouns or pronouns.

Example sentences:

Either you or I can set the table.

Neither Jack nor Jill will be coming. Theyhave to work late.

Either they or the Jacksons brought the cake. I'm not sure.

The cake was made by neither the Jacksons or them. Jane made it.