Thanks Jon and Duncan.
Of the two inland/parkland courses I play most often one is a former farm that when acquired for golf in the 1920's the farmhouse became the clubhouse and the farm outbuildings, including the stables, became the maintenance sheds etc for many decades. The other course, once a stately home, had, still does have, mews buildings, so the opportunity for stabling on-site was certainly there. I've seen a few other inland/parkland courses with this form of background as well.
Whether either course ever used or owned their own horse(s) I can't say but Duncan's comment about the RVGC horse seems consistent with stores I've heard and photos seen of horses wearing big leather over-shoes while pulling a trailer or a mower, although the frequency of mowing per Jon's comment is interesting. I wonder what the mowing frequency would have been in a climate where the grass grows quicker than in the UK or where no sheep/goat/cattle grazing took place.
atb