https://www.youtube.com/watch?v=LCXFUqdu_KA

https://playback.fm/year/1901

No. Song-Artist-Peak Month
 1 THE STARS AND STRIPES FOREVER-SOUSA'S BAND-JANUARY
 2 AMERICAN PATROL-SOUSA'S BAND-February
 3 WHEN REUBEN COMES TO TOWN-S.H. DUDLEY-March
 4 ABSENCE MAKES THE HEART GROW FONDER-HARRY MacDONOUGH-April
 5 ANY OLD PLACE I HANG MY HAT IS "HOME SWEET HOME" TO ME-WILL DENNY-December
 6 GOOD EVENING,CARRIE-DAN QUINN-December
 7 HELLO CENTRAL,GIVE ME HEAVEN-BYRON G. HARLAN-July
 8 UNCLE JOSH'S HUSKIN' BEE DANCE-Cal Stewart-October
 9 JIM LAWSON'S HORSE TRADE WITH DEACON WITHERSPOON-Cal Stewart-July
10 THE TALE OF THE BUMBLE BEE-Harry MacDonough-October
11 Knocked 'Em in The Old Kent Road-Jack Morrison-July
12 Good-Bye,Dolly Gray-Big Four Quartet-April
13 Tell Me Pretty Maiden-Harry MacDonough & Grace Spencer-June
14 In The Shade Of The Palm-J.W. Myers-September
15 When The Harvest Days Are Over-Harry MacDonough-May
16 Whistling-S.H. Dudley-June
17 Whip-Poor Will Sing-Joe Belmont-March
18 Ask A Policeman-The Variety Singers-July
19 You Can't Keep A Good Man Down-Dan Quinn-January
20 The Laughing Song-George Washington Johnson-April
21 Absence Makes The Heart Grow Fonder-George J.Gaskin-June
22 Reuben Haskins From Skowhegan,Maine-Len Spencer-July
23 The Wedding Of Reuben And The Maid-Arthur Collins & Byron Harlan-December
24 Cindy,I Dream About You-Arthur Collins-March
25 Beer,Beer,Glorious Beer-The Variety Singers-July	
26 Good-Bye,Dolly Gray-Harry MacDonough-May
27 When The Harvest Days Are Over-Byron G.Harlan-February
28 I Never Trouble Trouble Until Trouble Troubles Me-Arthur Collins-July
29 When I Think Of You-Mina Hickman-August
30 Ain't Dat A Shame?-Dan Quinn-October
31 I'll Be With You When The Roses Bloom Again-Harry MacDonough-December
32 When You Were Sweet Sixteen-Harry MacDonough-August
33 I've A Longing In My HeartFor You,Louise-Harry MacDonough-October
34 Why Did I Leave My Little Back Room?-Parlophone Quartet-July	
35 In The Shade Of The Palm-Harry MacDonough-September
36 Ma Blushin' Rosie-S.H. Dudley-March
38 When You Were Sweet Sixteen-J.W. Myers-June
39 William Tell Overture:Finale-Sousa's Band-February
40 Scene At A Dog Fight-Len Spencer-November

*This list was compiled with charts from various 
western industrialized  nations (primarily the USA and UK).