A speech or piece of writing that praises someone who has just died, that is called -

Eulogy: A speech or piece of writing that praises someone highly, especially a tribute to someone who has just died.

Elegy: A poem or song that expresses sad feelings, especially for somebody who has died.

Allusion (to somebody/something): something that is said or written that refers to or mentions another person or subject in an indirect way.

Allegory: A story, play, picture, etc. in which each character or event is a symbol representing an idea or a quality, such as truth, evil, death, etc.; the use of such symbols

Source: Oxford Dictionary