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Bedfordshire does appear to be the stronghold of the name spelt Fensom and Fensome. Fensom is slightly commoner of these two spellings, Fenson is much rarer and seems to belong mainly to Lincolnshire.
As for the meaning, nothing certain. There is, however, another rare surname, Fensham, which looks like a place name, though I haven't located one. Felsham and Fincham are the nearest I can find to Fensham, but I'm dubious about both. I suppose a fenland connection is a possibility, though as yet unproven.