Morecambe had a Boxing Day to forget
They suffered a 4-1 home defeat against promotion chasing Notts County in League two.
The Shrimps remain just two points above the relegation zone.
Barrow are still hovering just above the National League drop zone.
However, the Bluebirds are eight points clear of the teams below following a 1-1 draw at home to Wrexham.
Elsewhere, Lancaster City drew 2-2 against Workington at Giant Axe in the Evo-stik Premier.
A tier below, Kendal Town also earned a point with a 1-1 draw at home to South Shields.