In Albert-Eden-Roskill, a plan by Orakei Local Board member Mr Thomas to stand with Mrs Fletcher has not gone down well.
Before leaving for the United States last Friday, Mrs Fletcher said on Facebook that she hoped an Albert-Eden-Roskill team member would be her running mate, "hopefully an enthusiastic Nigel Turnbull campaigning beside me".
Mr Turnbull - deputy chairman of the Puketapapa Local Board, one of two boards in the ward - is seeking a ward nomination.
Yesterday, former C&R president John Slater said it was no secret that Mrs Fletcher's preferred running mate was Mr Turnbull, a well-connected and highly regarded local constable in a very parochial ward.
A source told the Herald that the entire C&R Albert-Eden-Roskill team did not like Mr Thomas and were threatening to walk and set up a new ticket if he was selected.
Mr Thomas is holidaying in Canada. Last night, C&R president Karen Sherry said C&R was still going through a "highly contested" selection process in Eden-Albert-Roskill, but would not comment further.