My name be on the children?

My name be on the children? No:
But mark them, Lord, with thine:
Let all the heavenly offspring know
By characters divine;
Partakers of thy nature make,
Partakers of thy Son,
And then the heirs of glory take
To thine eternal throne.

Hymnal/Album: Originally titled “Let my name be named on them.”—[Gen.] xlviii. 16. Introduced in Charles Wesley, Short Hymns on Select Passages of the Holy Scriptures, Vol. 1 (Bristol: Farley, 1762). Published in The Poetical Works of John and Charles Wesley, Collected and Arranged by G. Osborn, Vol. 9 (London: Wesleyan-Methodist Conference Office, 1870), page 31.
Publishing: Public Domain