grand daughter to niece

[Davy B]

Would my brothers grand daughter be my daughters niece

[Psychick]

No, she would be your great niece, making her a cousin to your daughter. She wont be a first cousin though, I think it may make them second cousins but I could be wrong on that bit.

[Naomicorlett]

your brother's child would be your child's first cousin. Therefore your brother's grandchild would be your child's first cousin once removed ( the remove refers to generation gap)
Your grandchild would be second cousin to your brother's grandchild.
Took our family ages to work it out!!

[New Judge]

An easy way to remember this (should you ever need to!):

Cousins (�unremoved�) are of the same generation. First cousins share common grandparents; second cousins share common great-grandparents; third cousins common great-great-grandparents, etc. So this puts the successive cousins wider apart but at the same generation level in a family tree.

As naomicorlett suggests, �removal� refers to differing generations. So your �second cousin once removed� is your second cousin�s child.