Ofsted - which inspects England's education providers - says the rise may, in part, be due to its increased efforts to ensure nurseries report such events.
Industry body, the Early Years Alliance, says most providers prioritise safety and that safeguarding breaches are extremely rare.
Ms Wheeler and Mr Meehan are now calling for more frequent Ofsted inspections and for CCTV footage to be checked by inspectors.
Genevieve had been at the now-closed Tiny Toes nursery in Stockport, Greater Manchester, for a week when she died.
CCTV footage showed her struggling and coughing, but nursery worker Kate Roughley did not check on her properly until she was "unresponsive and blue", her trial heard. Roughley received a 14-year prison sentence for manslaughter in May last year.
"I couldn't understand how a baby of this age could go to sleep for a nap in the afternoon and then not wake up," Ms Wheeler told us.
"I completely lost who I was, that night in hospital, holding her."