I am pleased to note that cheer is distributed pretty evenly among the chapters.  If only “more of us valued food and cheer and song”.  Indeed.

• 02.047 Then the night could have been spent cheerily.
• 05.008 and after all if their holes are nice cheery places
• 05.074 and cheerful,
• 06.065 shouted and cheered.
• 07.142 So cheer up Bilbo
• 07.142 Cheer up Thorin
• 08.037 They were at first inclined to be cheered by the change,
• 10.037 or cheered if any dwarf showed so much as his nose.
• 10.039 for he was not feeling particularly cheerful.
• 12.043 Cheer up Bilbo!’
• 12.081 in the meanwhile his friends did their best to cheer him up;
• 13.039 for a drink of something cheering
• 14.007 Think of something cheerful!’
• 14.010 The cheering stopped
• 14.013 and fro cheering on the archers
• 14.038 and it cheered them greatly
• 16.024 from this cold cheerless place,’
• 16.046 Puzzled but cheered,
• 18.019 If more of us valued food and cheer and song
• 18.043 and cheerless road,