‘White Self’ does not appear to have designations such as L, P, D, F. The following are all designated with W1.
Cascadian, TB, Linse 1952/1952
Gay Lavinia, TB, Schreiner 1954/1954
Earth Angel,TB, Sexton, 1959/1960
W1
Henry Shaw, TB, C. Benson, 1957/1959