It's important to remember that especially during this age, the concept of blood status is a
social construct. It has nothing to do with your character's actual genetic background, only with what they and other people know about their ancestors.
This means that many characters who we would call halfblood in the modern Harry Potter series may get away with calling themselves pureblood, especially if there is a history of magic in the family.
PurebloodAnyone with more than two or three generations of magical history in their family.
HalfbloodAnyone born to a union of a witch/wizard and a muggle
SquibAny non-magical person born to the union of a magical person or persons
Muggleborn or MuggleAnyone with no known magical history in their family
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