I also descend from Alexander Piers, through his son Ezekiel.
Do you have any information on Alexander Peers/Piers parents, siblings other than Daniel & Henry? Can you tell me what resources you have used, OTHER than the LDS records (which are notoriously inaccurate, because nobody makes any attempt to verify anything submitted).
Please be aware that many of the family DID spell their surname PEERS. It was not just census records, etc., this was a regular spelling of the name.
Henry Piers, who went to New Brunswick, did spell his name Piers. But Alexander and his children appear to have all spelled their name Peers.