In the event of the majority of the persons present and voting at any such meeting or adjourned meeting resolving that a deed of submission shall be entered into with the minister of the parish and the presbytery, for the purpose of having the fish teinds commuted according to the judgment and award of one person as sole arbiter, such arbiter shall be chosen and appointed by the minister of the parish, the presbytery, and the three persons elected at such meeting, one vote being given by the said three persons collectively, one vote by the minister, and one vote by the presbytery.