I'm hoping that you all can help me. I'm looking for the lyrics, origin, and name of a song that I've had stuck in my head for a decade and a half.

Here is what I remember of the lyrics:

Tea time, tea time,
any time for me time,
any time of day or night and sometimes in between!
Bath buns, bath buns,
Jam and [three unknown syllables] ones.
Anything is fine for me,
it's always time for tea.
Yes, anything is fine for me,
it's always time for tea.

Here is what I remember the melody sounding like.

I'm not certain if that was a verse or the chorus, and I don't know how much more of the song there was.
If it helps, I found the song on a CD I had as a teenager. I don't remember the name of the group, or the album (hence my struggle). I believe it was a collection of a capella folk songs, all sung by a small group of women. Also on the CD was a lovely take on "Rose, Rose", combining it with "Ah, Poor Bird" and "Ride a Cock Horse to Banbury Cross."

Thanks!