half-third-cousin

1- Half-great-grandpibling's great-grandchild.
2- Living being that has zero parents, zero grandparents, zero great-grandparents and one great-great-grandparent in common with other living beings.

Half-third-cousin.

half-first cousin-aunt

Parent's female half-first cousin.

My half-first cousin-aunt is a good person.

half-co-cousin-in-law

Spouse's half-cousin's spouse.

half-co-cousin-in-law.

quadruple-half-first-cousin

1- Child of double-half-aunt (daughter of maternal grandmother and of paternal grandfather) and of double-half-uncle (son of paternal grandmother and of maternal grandfather) at the same time.
2- Child of double-half-aunt (daughter of paternal grandmother and of maternal grandfather) and of double-half-uncle (son of maternal grandmother and of paternal grandfather) at the same time.
3- Person who, in relation to the other person, has zero parents and four grandparents in common (in different manners that the double-first-cousin).
4- Quadruple-half-cousin.
5- Quadruple-half-1C.

My quadruple-half-first-cousin is a good person.

half-great-cousin-nephew

Half-first cousin’s grandson.

My half-great-cousin-nephew is a good person.

half-first cousin-uncle

Parent's male half-first cousin.

My half-first cousin-uncle is a good person.

half-second-cousin

1- Half-grandpibling's grandchild.
2- Someone who, in relation to others, has zero parents, zero grandparents and one great-grandparent in common.

Half-second-cousin.