This individual has no known canonical name.  While the information presented is canonical, the individual described lacks an official name, thus the title is conjecture.

Elizabeth Weir's father is a male Tau'ri, the husband of Katherine Weir and the father of Dr. Elizabeth Weir.

He used to host poker night when Elizabeth was a child. While negotiating with a delegation sent by the Goa'uld System Lords in 2004, she told Doctor Daniel Jackson that she wished that she had paid more attention. (SG1: "New Order, Part 1")

When he died at some point prior to 2004, Elizabeth inherited his pocket watch. (SGA: "The Real World")