I think the whole first part of this song before the piano solo, not counting the intro, is one verse. The fifth and sixth lines ("By the time she was back," etc.) sound like they could be the beginning of a second verse, but then they end. It sounds to me like the verse is ending the way it started.
I want to look at this song in terms of how it uses the four chords - I, IV, V, and a V/V chord.
In the first two lines, a circular I-V-IV-V is established with chords changing every two beats. The second line ("She said she knew she would trust me and I her will") has three more syllables than the first and ends on the downbeat of the verse's fifth measure, such that another two bars are needed to get to the next line. This makes it uneven - a total of six bars (two plus four) for the first two lines.
The third line ("I said, 'OK, baby'," etc.) has the same chords as the first, but the V/V is re-introduced (having been previously present in the intro) in line four. It takes the place of the IV chord as the third chord of the series and it's used in its secondary dominant function, to go back to V. The fourth line is not extended the way the second line was, but Barrett, in order to make room for the same two-bar break between couplets that we had after line two, treats it in the same way. He puts the downbeat on "see" ("And see what I see"), which means that, yes, the bar before it is shortened by two beats.
Going back to the circular I-V-IV-V on lines five and six, Barrett this time decides to do the same thing he did on lines three and four, but without the V/V chord - the second time you hit that IV chord (on the words "big surprise"), it's a shortened bar of two beats.
It doesn't go back to the V at the end this time. It goes to the tonic instead, which leads you into the piano solo.
Which is strangely over a different chord progression, but only briefly! First it's a V-IV-I that lasts two measures. When this repeats, Barrett interrupts it after the V-IV and treats it like we're in the middle of the old progression, going back to V for two beats and then keeping the I-V-IV-V going. The two beats of V there is another shortened bar.
He wraps the solo up with another use of the V/V, this time in place of the last V chord but acting again as a secondary dominant, such that when the dominant chord is reached, we need an extra bar and it ends up an irregular five bars long.
After all these events, it's no wonder that Barrett is able to just repeat the words of the first verse again at this point. These will be all of the words for the song.