Remote copying of updates to primary and secondary storage locations subject to a copy relationship

Provided are a method, system, and program for remote copying of updates to primary and secondary storage locations subject to a copy relationship. A first copy relationship is established between first and second storage locations in a first storage system and second storage system, respectively, wherein updates to the first storage locations are copied to the second storage locations. A second copy relationship is established between the first storage locations in the first copy relationship and third storage locations in a third storage system, wherein updates to the first storage locations are indicated in a first bitmap. A suspended third copy relationship is established between the second storage locations in the first copy relationship and the third storage locations, wherein updates to the second storage locations are indicated in a second bitmap. Updates are copied from the first or second storage locations to the third storage locations, wherein the first or second bitmap is capable of being used to determine updates for the first or second storage locations to copy to the third storage locations.