The were two manned unsignalled level crossings north of Breamore - South Charford and North Charford, that were supervised by telephone from Breamore. Breamore stayed switched in for that reason; Breamore was staffed anyway as it was a combined ticket office + signalman post, there was no net staff saving by switching it out.
How do I know about Breamore ? That is my home village, I lived within 400 m of the station, and, to closure, 1964, my gran, was the full time crossing keeper at South Charford. She had a block bell - just a repeater, no instruments - in the kitchen***, and a phone under a lid outside the front door, and telephoned Breamore for permission to open the gates to road traffic for every vehicle crossing. Same arrangement applied at North Charford.
AIUI that sort of working came into place after the line had some signal rationalisation done to it c.1930. That closed Downton as a box, leaving it only as a shunt frame so Alderbury Jn - Breamore became the section; up to then there were block repeater instruments in the crossing houses to see state of the line, these were removed; the orginal Breamore cabin was closed and levers relocated to a ground frame type affair on the platform outside the booking office and the block token instrumens within, and also provison to switch out Fordingbridge; Breamore to Fordingbridge and Fordingbridge to Verwood were Tyers tokens, but a long staff was used for Breamore to Verwood when Fordingbridge was switched out. Breamore was signalled by the same person doing ticket office duties (the regular resident up to closure being one Mr. Trim); so as the ticket office was staffed anyway, so was the signalbox.
*** hence I knew all the bell codes before I even started primary school, and could count to 16 (testing block bells) rapidly and accurately tell the difference between 16, 5-5-5 and and 7-5-5. (Or 5-5-7, I forget which one it was now, it was 60 years ago last month after all).