I think this is a mistranscription of the family's 1901 entry, going by the names you mentioned Ev:
James (Agnes?) Murray 39, flax spinner b. Aronadale, Linliths
Catherine Murray 17, Feeder In Tow Mill, b. Shotts, Lanark
Helen Murray 15, Filler At Heople Machines b. Boness, Linliths
Thomas Murray 14 b. Old Cumnock, ayrsh
Address: 45 North Street, Leven Fife
Daughter Mary Ann married I think end of 1900, father showed as a deceased coal miner (Thomas in error on the cert, instead of William. Also on her death cert, he also showed as Thomas).
From the census entries for 1891 and 1901, and the lack of children after Thomas. It may be that some died young...or, it may be that William and Agnes were no longer together for some years prior to his death. In this scenario, if they hadn't seen him for a few years, they may well all have stated his occupation as being that of a coal miner if that was what he did when they last heard of him?
All guesses really for now

Monica