Gamlingay is technically over the county line in Cambridgeshire, but it's close enough to Potton and Sandy that, for local search purposes, the border barely matters.
Worth saying plainly: Gamlingay isn't in Bedfordshire, it's a South Cambridgeshire village. But it sits right on the border, close enough to Potton and Sandy that plenty of everyday trade genuinely flows both ways, and Google's local results don't really care which county line you're on either — they care about actual distance and relevance.
For a business based in Gamlingay, that's useful. Plenty of Bedfordshire search volume from Potton and Sandy is genuinely reachable if your Google Business Profile's service area is set up to reflect it, rather than assuming the county boundary is some kind of hard cutoff — it isn't, not for a customer deciding who to call for a job.
The reverse is also true: if you're a Bedfordshire business and Gamlingay is realistically within your working radius, it's worth including explicitly rather than assuming cross-border customers won't find you. Village and county names both matter for search relevance, but neither of them should stop you being found by someone five minutes down the road just because of where a line was drawn on a map centuries ago.