A woman who gave birth prematurely after falling while chasing two robbers at the Royal Easter Show has named her baby boy Roman.

The 32-year-old woman was collecting ride coupons near the food hall on Monday about 2.30pm when two young men robbed her, police said.

She chased the pair into the food dome but tripped, falling heavily on her stomach. The woman was given first aid at the scene before being taken to Westmead Hospital, where she gave birth to a boy three hours later.

Police have been told the woman was 34 weeks pregnant and suffered extensive bruising in the fall. Detective Inspector Paul Arnold said the thieves got away with $5000 worth of ride coupons.