Some corrections and additions to my first post.

I have since discovered that Archie arrived in the USA via Canada, he sailed from Southampton on the RMS Ausonia on 25th June 1927, arriving in Quebec on 5th July.

The 1930 US Census shows him working as a nurse in the Cattaraugus County Home, Machias, New York State, he entered the US in 1927 and was still listed as an alien 3 years later, he was single aged 35.

After this I have no information at all. I don't think he kept in touch with his family in England, on the ship's passenger list he names a Miss B. Shellard of Bristol as his nearest relative despite having many brothers and sisters and his parents still alive, so maybe he had some sort of falling out with them?

I'm particularly interested to know if he stayed in the Machias area, whether he married and had any children, and if there are any Davie family members alive there today.