More references on the topic

The worker bees build queen cells, which are larger than worker cells, and the worker bees move eggs from the worker cells to the queen cells. — Gentaro Shishimi. WORKING MEMORY AND CONCEPT LEARNING IN HONEYBEES, 2013 Thesis

cites: 
Tribe G.D. (1982) Do workers move eggs?, S. Afr. Bee J. 54, 18–19. 

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Eggs are often laid by the queen directly into the cups, in which case she presumably has made a decision that this particular egg should be raised into a queen. However, workers also move eggs from regular worker cells into these queen cups, and queen larvae and pupae are frequently destroyed by workers [4].  — Chittka A, Chittka L (2010) Epigenetics of Royalty. PLoS Biol 

cites: 
Winston M. L (1987) The biology of the honeybee. Cambridge, Massachusetts: Harvard University Press. 

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Although there is circumstantial evidence (see Herold, 1956; Schulz, 1956; Monvagner, 1962) that workers can move eggs from one cell to another, this is impossible to prove except by direct observation, because laying workers very occasionally lay diploid eggs. — J. B. Free. The Production of Drone Comb by Honeybee Colonies Journal of Apicultural Research Vol. 6 , Iss. 1, 1967

cites:
HEROLD, E. (1956) Tragen Bienen Eier um? Imkerfreund 11 : 352-360

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