While Latter-day Saints emphasis that valid baptism can only be performed by those ordained to the proper priesthood and office thereof (in this dispensation, one must be ordained at least to the office of priest in the Aaronic priesthood). Interestingly, John Wesley, the founder of Methodism, held a similar position about the necessity of one being ordained to baptise:
In his original abridgment of his father’s text dated November 11, 1756, Wesley added an introductory section which stipulated that one of “the three things [which] are essential to Christian baptism [is] an episcopal administration” . . . He drew a sharp distinction between the extraordinary preaching ministry to which these laypersons were appointed and the priestly ministry of the sacraments which was to be exercised exclusively by those who were ordained. In 1772 he wrote to Joseph Thompson: “Whoever among us undertakes to baptize a child is ipso facto excluded from our Connexion” (John Telford, ed., The Letters of John Wesley, 8 vols. [London: Epworth Press, 1931], 5:330). Despite the growing pressure from both preachers and people Wesley never agreed to lay administration. In a 1784 letter he stated:
I shall have no objection to Mr. Taylor if he does not baptize children; but this I dare not suffer. I shall shortly be obliged to drop all the preachers who will not drop this Christ has sent them not to baptize, but to preach the gospel. I wonder any of them are so unkind as to attempt it, when they know my sentiments (Letters 7:203-4).
Ultimately he chose to ordain men to the priestly ministry himself rather than to permit lay preaches to baptize and serve the eucharist. (Gayle Carlton Felton, This Gift of Water: The Practice and Theology of Baptism Among Methodists in America [Nashville: Abingdon Press, 1992], 17, 18, square brackets in original, emphasis added)
