The value of 'Children' properties are always object handles (usually in handle graphic numeric form), and are never strings.
Is 'axes_of_data' a variable name, or is it a field in your handles structure, or is it the Tag of the axes? (The last two could potentially be both true, especially if you are using GUIDE.)
If it is a Tag, then use
h = findobj(gcf, 'Tag', 'axes_of_data')
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