Red Bank Register, June 19, 1907, page 2 gives details of a school end-of-term programme.
A dialogue "Then and Now" was performed by Veriquer Farquhar & George Voorhis.
Very small type, but clearly "Farquhar" not "Farquhir" under a magnifying glass.
I don't have full access to U.S. census records, but a search for "Veriquer Farquhar" born ca. 1890 did turn up some abbreviated records,.....
Velmer (or Veluser) Farquhar, living in South Carolina (no city), b. about 1892 in Hill City, Texas
Vlen Farquhar, living in South Carolina,(no city), b. about 1894 in Hill City, Texas
These obviously may be related to each other. Interestingly, there is today a known community of Irish Travellers in South Carolina.
None of this answers your original post, but is circumstantial evidence to support the travelers/gypsies theory and is intended to give you some possible background to your search.
Please let us know where your research takes you.
Good Luck,
JMB