This is a new name for me to investigate! I haven't stumbled across any reference to anyone called Gilbert Frank Rook/Rooke in my family yet so will now investigate it further. Some people did move to the West Midlands though I don't think I've found any in Lichfield.

Sept. 12th can't find any connection with my Rook/Rooke family for any of these names though the family did say they had relatives in Herefordshire so I will need to look into it further to see if there is any connection.