My Chambers family was originally named McCambridge (originally MacAmbrose in Kintyre and Islay). The name was changed in Antrim when they came over with the McDonnels. You are the first related person I've seen that knows when the family came over from the Argylles. There are many Chambers patrilineal lines for the surname. I took a y-DNA test to sort it out. I'm in haplogroup R1a1a which is Norse Viking. There's another marker that confirms this. Two McCambridge tests I've seen were haplogroup "I1a", also Viking stock.
I'm hoping that more McCambridges join the McCambridge DNA Project. Please encourage a male family member to do so.
Other Chambers came over to Ireland during the Plantation. They were Lowland Scots and Anglo/Norman English. They were protestant and English-speaking as required by the Crown (government). My family, like the McCambridges, were Irish-speaking and Catholic. That made a difficult life for them in Northern Ireland. Cromwell forced my family to Connaught (County Mayo) Wikipedia has good articles on the Plantation.
Regards,
Tim