@dalehileman,
Either goes with or, neither goes with nor.
(1) If the pairings either/or or neither/nor form part of the subject of a verb and both elements are singular, then the verb must be singular too.
Examples:
Neither Mark nor Dawn is at the party.
Either the clerk or the secretary has the keys to the car.
Neither Simon nor Gary does as he is told.
(2) If the pairings either/or or neither/nor form part of the subject of a verb and at least one of the elements is plural, then strictly speaking the verb must be plural too.
Examples
Neither the lawyer nor the detectives are able to follow the sequence
of events.
There were neither cakes nor ice-cream at the party.
Neither the firemen nor the policemen know him.
HOWEVER some grammarians allow for relaxation of the second rule - and there is widespread leniency when only one of the elements is plural - under 'the proximity rule', the verb is governed by the element nearest to it.
Examples
Either crumpets or cake is sufficient.
There was neither ice-cream nor chocolates at the party.