What is it called when poems rhyme the second-last word in two lines?

There's one thing I've seen occasionally in poetry (the only examples that currently spring to mind are from Edgar Allan Poe, but I know I've also seen it elsewhere) where instead of using two different words that rhyme with one another, the last word in two lines is the same and the second-last words in those lines rhyme:

Thou was all that to me, love
For which my soul did pine
A green isle in the sea, love
A fountain and a shrine...

or

'Wretch!' I cried, 'thy God hath lent thee-
By these angels he hath sent thee-
Respite, respite and nepenthe
From thy memories of Lenore...

Is there a word for this? Or at least some way of describing it better than what I've done here?

(EDIT) Re Chappo's comment: I've tried a few Google queries along the lines of 'poem second-last word rhyme' and looked up a couple analyses of the poems linked above (which were sadly heavy on flowery descriptions of how moving the poems were and low on 'this rhyming device is called such-and-such'). I'm not sure what resources exist for answering questions like this, I'm afraid.

Here are a few possibilities that are close:

Feminine rhyme: a rhyme that matches two or more syllables, usually at the end of respective lines, in which the final syllable or syllables are unstressed. It is also commonly known as double rhyme.

Source: https://en.wikipedia.org/wiki/Feminine_rhyme

More generally there are:

Multisyllabic rhymes: multisyllabic rhymes (also known as compound rhymes, polysyllable rhymes, and sometimes colloquially in hip-hop as multies) are rhymes that contain two or more syllables

Source: https://en.wikipedia.org/wiki/Multisyllabic_rhymes

Penultimate rhyme. (Second to the last syllable carries the rhyme) you find it in many song lyrics