Earlier quoted context omitted.
The roman calendar started the year in spring as well with March (hence the names September/October/November/December are literally the 7th/8th/9th/10th month). The Greek apparently were all over the place with the year starting in summer/fall/winter depending on region/polis.
Up until 1751 the legal year (fiscal year) in England (and its North American colonies) started at 25 March (Lady Day).
My understanding was that new years was always January, 1st, but that the year number changed on Lady Day
The UK's tax year still reflects this, starting from April 6, which both accounts (pun intended) for the year changing on Lady Day, and the transition from Julian to Gregorian calendars.