Ms Baxendale said it was time for a fresh start
The Scottish Liberal Democrats have selected a South Lanarkshire councillor as their candidate for the Glasgow North East by-election.
Eileen Baxendale, 64, is a former social worker.
She will fight the seat vacated by Michael Martin after he stood down as Speaker of the House of Commons earlier this month.
Ms Baxendale said: "At a time when faith in MPs is at an all time low, it's time for a fresh start."
She added: "If elected I will be a strong voice for the people of Glasgow North East in Westminster.
"Gordon Brown's Labour Government is gasping its last breath. Labour are out of touch and letting local people down.
"The SNP is no alternative. They will be full of empty promises - their track record at Holyrood speaks volumes.
"I will be a strong champion for the people of Glasgow North East."