Arthur's (1926) parents look to be Frank Webb and Emma Willmott. There are several Frank Webb's born in Romsey, but the tree claims 1890, and that fits with 1939 register and some siblings of Arthur.
Frank Webb born 1890 has mother's maiden name Southwell, so possibly the wedding of his parents:
Marriages December quarter 1887
Hester Southwell Romsey
George Webb Romsey
George is 27, from Romsey, and Hester 25 from East Wellow, on 1891 census.
George Richard Webb born December quarter 1863 in Romsey, mother's maiden name Gear.
Parents in census Joseph and Louisa, so this marriage
Marriages June quarter 1863
Louisa Gear Southampton
Joseph Webb Southampton
both from Romsey in 1871 census he is 52, she is 39.
Looks like Joseph has a previous wife, Martha, showing in 1851 - he is an innkeeper in Bell Street. In 1841 he is a butcher on The Hundred with Martha.
So far the family appear to have a fairly settled life, so any travelling was done a long time ago.....