1863 Byron Vanderbilt's Arithmatic Book with Handwritten Poem

I found this lovely old book "Progressive Intellectual Arithmetic". In it, are multiple handwritten notes including a poem by Byron Vanderbilt in Niles, Cayuga County, NY. The book was passed on to other students because their names and dates are also added on various pages.
On front inside page, handwritten in pencil, is "Byron Vanderbilt Book, Niles, May 27th, '66" -(1866).
On the same page is a poem that goes something like this:
"With this you see remember me.
Though absent from your sight.
And I will do the same for you.
With pleasure and delight.
Henry (?)"