Doing a search I came across a reference that looks to be the album your mother played:
Grant's "A Very Merry Christmas Volume IV" has the following tracks:
Steve Lawrence & Eydie Gorme - That Holiday Feeling Gary Puckett - Oh Holy Night Arthur Fiedler & The Boston Pops - Tchaikovsky: Dance of the Sugar Plum Fairy; Dance of the Toy Flutes from "The Nutcracker Suite" Mark Lindsay - What Child Is This? Mel Torme - The Christmas Song (Chestnuts Roasting On An Open Fire) Barbra Streisand - The Best Gift Johnny Cash - I Heard The Bells On Christmas Day Tony Bennett - Have Yourself A Merry Little Christmas Aretha Franklin - Winter Wonderland Bing Crosby - The Secret of Christmas Julie Andrews - Silent Night Peter Nero - Christmas Medley: Hallelujah Chorus; Hark! The Herald Angels Sing; Deck The Hall With Boughs of Holly; Joy To The World; Hallelujah Chorus (reprise)
This may be the album your mother played
Grant's "A Very Merry Christmas Volume IV" has the following tracks:
Steve Lawrence & Eydie Gorme - That Holiday Feeling
Gary Puckett - Oh Holy Night
Arthur Fiedler & The Boston Pops - Tchaikovsky: Dance of the Sugar Plum Fairy; Dance of the Toy Flutes from "The Nutcracker Suite"
Mark Lindsay - What Child Is This?
Mel Torme - The Christmas Song (Chestnuts Roasting On An Open Fire)
Barbra Streisand - The Best Gift
Johnny Cash - I Heard The Bells On Christmas Day
Tony Bennett - Have Yourself A Merry Little Christmas
Aretha Franklin - Winter Wonderland
Bing Crosby - The Secret of Christmas
Julie Andrews - Silent Night
Peter Nero - Christmas Medley: Hallelujah Chorus; Hark! The Herald Angels Sing; Deck The Hall With Boughs of Holly; Joy To The World; Hallelujah Chorus (reprise)