I assume the data she has quoted goes up to the time of writing. There have been another 10 or so since.
Your figures are very old. There have been a lot more deaths since Spring 2021, that’s nearly a year ago. The data for child deaths isn’t easy to find but it is out there.
Follow the link
Select area type “nation” and then area name “England”
Select the metric “newDeaths28DaysByDeathDateAgeDemographics”
Download the spreadsheet and filter the three age groups 0-4, 5-14 and 15-19.
You have to do the maths yourself – add up each death each day that one occurred.
This will give you the total child deaths JUST FOR ENGLAND.