Of all the thatched and half-timbered houses in the village of
Leebotwood, Shropshire, which is the oldest?

I'm afraid I haven't found this information on the net. But by
coincidence I've just received an answer to an email I sent out about
your first Shropshire/Shrewsbury question which might help:
"I suggest that the Records and Research Centre in Shrewsbury would be
able to help. Their telephone number is 01743 255350. The Local
Studies
Librarian....at that number is a fund of such knowledge."

Thank you for the email received re my questions on
Shrewsbury/Shropshire. As it happens I`m going to Shrewsbury so will
gho to the Records Office as you suggest.