A fact: worked equal shifts to make bier (10)

I believe the answer is:

catafalque

'bier' is the definition.
(both refer to a support holding a coffin)

'a fact worked equal shifts' is the wordplay.
'worked' indicates an anagram.
'shifts' indicates anagramming the letters.
'a'+'fact'='afact'
'afact' anagrammed gives 'cataf'.
'equal' is an anagram of 'alque'.
'cataf'+'alque'='CATAFALQUE'

'to make' is the link.

(Another definition for catafalque that I've seen is " Decorated bier".)

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