at a lower place vs beneath

at a lower place and beneath both are adverbs.

Word	Noun	Adjective	Verb	Adverb
at a lower place	No	No	No	Yes
beneath	No	No	No	Yes

As adverbs, at a lower place and beneath are synonyms defined as:

Other synonyms of at a lower place include below, to a lower place.

at a lower place (adverb)	beneath (adverb)
in or to a place that is lower	in or to a place that is lower