Some family relationships aren’t hyphenated:
grand
- My grandmother has arrived.
- She is his favourite grandchild.
step
- His stepmother always helped him with his homework.
- She has a stepsister.
Some family relationships are hyphenated:
great
- She was my husband’s great-grandmother.
- He is the great-great-grandfather of my daughter.
half
- I have two half-brothers.
- My half-sister is a nurse and lives in Australia.