The star, 48, had denied failing to keep visitors safe at her animal park.
But her husband Colin MacDougall, 46, admitted several breaches of health and safety laws.
Gruff Davies-Hughes, three, and his mum Emma, 28, were badly hurt when a branch fell on them at Manor House Wildlife Park in Tenby, Pembrokeshire.
MacDougall will be sentenced at Swansea Crown Court next week.
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