Billᵢ wants [[(for) Billᵢ] to leave at noon]
[Billᵢ wants [ __ ᵢ to leave at noon]]
[[(For) the casserole] to be done] seems
The casserole seems [to be done]
(Prof.John Lawler's article)
[case 1] She was last to arrive.(OALD)
[i] Equi: She was last [[for her] to arrive].
[ii] Raising: [[For her] to arrive] was last.
[case 2] They were the last to arrive.(OALD)
[i] Equi: They were the last [[for them] to arrive]].
[ii] Raising: [[For them] to arrive] was the last.
Are both, case 1 and case 2, Raising’s?
I tilt my head once one way, then the other. May I get the idea clear?