The third line gives even more hits than the second, including an expanded (but unattributed) version here. This one attributes it to Phoebe Cary and this one attributes it to her sister [DEL]Ursula[/DEL] Alice Cary. The poem is not in the book of their collected poetry, so probably both attributions are wrong. (But nobody tell this kid that.)
Aaaand, there is a different book of their poetry that does include it, attributed to Phoebe (though only the 8-line version, not the much longer one.)
(Last one) it seems to be mainly published in religious training materials, including this 7th Day Advantist periodical from 1871, which includes the long version, unattributed. I’m thinking that the additional lines were added by someone else.