Previously at CW you required a TM47 however as Tod pointed out in above thread link that has been dropped.
However if you have a TM47 then provide it.
Hare is cut and paste from @rodgerdodgerwho obtained one very recently.
"I provided the completed application form, TM30 print out, and copy of passport biodata page, visa page (I have a Thai Elite Visa, others may not have a visa) and passport page showing latest entry stamp. All pages signed by me in blue ink as requested by the IO. Handed over 200 ฿ to IO and was given a Thai Post reference number and told to expect CoR in post in one week. That was it"
What are you needing the COR for?
COR will be mailed out and takes about a week