Muriel Edith Nichol JP (2 February 1893 Wilmslow, Cheshire - 28 May 1983 Welwyn Garden City, Hertfordshire), née Wallhead, was a Labour Party politician in England.

The daughter of Richard Wallhead (Independent Labour Party chairman 1920–1922 and MP for Merthyr 1922–1934) was married with one son, and worked as a teacher before entering parliament.

[1] At the 1935 general election, she stood unsuccessfully in the Bradford North constituency in West Yorkshire, losing by a wide margin to the sitting Conservative Party Member of Parliament (MP) Eugene Ramsden.

In the Labour landslide at the 1945 general election, she unseated Ramsden, winning the seat with a majority of 3,444 (a swing of 12.7%).

After boundary changes for the 1950 general election, she lost her seat to the Conservative and National Liberal Party candidate, William Taylor.