An appeal in the family court is made on the N161 form, unless she is appealing to the high court, in which case the form is the FP161. Both are available on the www.gov.uk site if you search for them there.
Normally an appeal has to be made within 21 days of the decision that you wish to appeal. Grounds for an appeal are an error in fact, an error in law or a procedural error. An appeal can't be made just because you disagree with the outcome.
When submitting an appeal, you have to draft the grounds of appeal as a short document and then something called a skeleton argument which is a document setting out the reasons in more detail why an appeal should be allowed.
There is guidance on skeleton arguments here:
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