What type of poem is called when a name given and each letter has different meaning?

There isn't a specific, widely recognized poetic form called by that name. However, the technique you describe is called an acrostic.

Here's how it works:

* The first letter of each line spells out a word or phrase.

* The acrostic can be a single word, multiple words, or even a whole sentence.

* The poem itself can be about the subject of the acrostic, or it can be on a different topic entirely.

For example, here's a simple acrostic poem:

Sweet as honey,

Underneath the sun,

Nurturing and bright,

Shining like the dawn.

This poem uses the letters of the word "SUNS" to create a small acrostic.

While there isn't a specific "name-based acrostic" form, you can certainly write poems that use this technique to highlight a person's name and its meaning. It's a creative and personal way to write poetry.