Jodie Mitchell, of Selkirk, admitted behaving in a threatening and abusive manner towards the child at Falkirk Central Retail Park on 6 February.
The 26-year-old was originally charged with assault, but pleaded guilty to the alternative charge.
Sheriff Craig Caldwell deferred sentence until 30 July for reports.
A woman has admitted dragging a two-year-old toddler along the ground at a Falkirk shopping centre while shouting and swearing at her.