SNP councillor for Ayr West insisted the cost of a by-election to the public purse made any such move prohibitive.Instead, she will continue to sit as a member of South Ayrshire Council until next year's elections.She will, though, relinquish her senior council portfolio on the economy, tourism and leisure.Ms Brown, who unseated Tory John Scott at Holyrood by a majority of 170 votes earlier this month, became the first SNP member to win Ayr.She is now embarking on a career at Holyrood as part of Nicola Sturgeon's new-look team of MSPs.Ms Brown said: "A by-election (in normal times) has a cost of around £45,000 to the public purse and three-month notice period."After careful consideration, it is my intention to stand down from my current.
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