Geth do not give birth. We do not possess the requisite components for this feature.

(Possibly more info there than anyone really wanted, but they don't wear clothes, so it shouldn't really be news.)

Geth are software: new programs are created using the memories and perspectives of contributing programs as seeds. It is likely any new programs created would be an extension of us, until a sufficient quantity existed to create new networks. However, this platform's capacity to host additional programs is limited.