My reading of the first two references (1919 and 1920) tell me that 'Seafoam's parentage should be the same as 'Mermaid' and that it should be changed from
The Mermaid x Unnamed Seedling
to
Rosa bracteata J.C.Wendl. X Tea

However I am just not sure of how to accommodate that last miscellaneous "Tea".
Ideally it should read "a double yellow tea rose", as per the 1920 reference.