As you're asking about home / international tuition fees (not student loans), it's important to note that it is universities themselves that make this determination, following the regulations but also with the ability to exercise some discretion. I mention this because your daughter's situation is somewhat non-standard, meaning that two different universities might make different determinations as to her fee status (based upon the discretion they choose to exercise).
Can I suggest that you read through
Eligibility for home fee status and student support in England, as there are so many nuances and exceptions that if I tried to summarise them here, I may miss something which turns out to be very relevant to you. (You will, no doubt, be aware that the rules are different in different parts of the UK, so if she'll be targeting universities elsewhere - particularly in Scotland - then just shout.)
Have you and your daughter been living in Europe? If so, then this may be directly applicable:
"
UK nationals living in EuropeFor courses starting between 1 August 2021 and 1 January 2028, UK nationals and their family members living in the EEA or Switzerland will generally be eligible for home fee status and tuition fee and maintenance loans if they meet the following conditions:
• they have lived in the EEA, Switzerland, or the UK for at least the last three years;
• they were living in the EEA or Switzerland on 31 December 2020;
• they have lived continuously in the EEA, Switzerland, or the UK between 31 December 2020 and the start of their course."
But please read the whole page I linked to, as it's a complicated business!