Possible Clues:

• Is the roo fed with grass?
• Like some straw roofs
• Tit's head emerged from egg covered in straw
• After tea the chickens came out all over the roof
• Prime minister (almost) finally provided with a roof!
• Made kind of roof that's reduced temperature and shaded
• Time eggs did so, covered in straw?
• Seems that hundred he had was all under grass
• A little tea comes out with the chicken and with grass on top