I was wrong. The song that I think you are looking for is not from a children songs collection, but from a very important recording of Italian folk songs, featuring a source singer such as Giovanna Daffini and the first revivalists from the sixties: Giovanna Marini, Sandra Mantovani, Caterina Bueno, Michele Straniero etc. The lp, with a selection from a show of Italian folk songs that took place at Spoleto festival in 1964, was titled "Le canzoni di Bella Ciao" (The songs of Bella Ciao). The first and last song, was the now worldwide famous "Bella Ciao", first in the original version sung by the "mondine" (girls working as rice-pickers), and then in the version sung during the Resistance against nazism and the fascism. The lp is now available in CD in Italy, but there is also an edition by the French classical music label "harmonia mundi" (Bella Ciao, Chansons du peuple en Italie, HMA 195734), published in 2000. If you are interested in that and can't find the CD, contact me and I'll help you.

The song: E MIA MAMA VOL CH'J FILA.
Region: Piemonte. Tune: on a dance tune of the type called "monferrina". This recording from "Le Canzoni di Bella Ciao": sung by Sandra Mantovani and Michele L. Straniero. Other recordings: Fausto Amodei (on the 45rpm E.P. Il barone e la pastora, Ricordi and on the lp Folk Italiano, Family SFR-RI 651); Duo di Piadena, Canzoni della pianura padana. An italian book with this discography and information about the song: Canti Popolari Italiani, a cura di Giuseppe Vettori, Newton Compton 1974.

Text (in the dialect of Piemonte):

E mia mamm vol ch'j fila al lunez
ma mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé

E mia mamm vol ch'j fila al màrtez
ma mi al màrtez giogu le carte
mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé

E mia mamm vol ch'j fila al mércul
ma mi al mércul vadu da Bertu
mi al màrtez giogu le carte
mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé

E mia mamm vol ch'j fila al giobia
ma mi al giobia munto 'ns 'la lobia
mi al mércul vadu da Bertu
mi al màrtez giogu le carte
mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé

E mia mamm vol ch'j fila al v'nner
ma mi al v'nner siasu la s'nner
mi al giobia munto 'ns 'la lobia
mi al mércul vadu da Bertu
mi al màrtez giogu le carte
mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé

E mia mamm vol ch'j fila al sabato
ma mi al saba ciapu la paga
mi al v'nner siasu la s'nner
mi al giobia munto 'ns 'la lobia
mi al mércul vadu da Bertu
mi al màrtez giogu le carte
mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé

E mia mamm vol ch'j fila al d'festa
ma mi al d'festa stagu a la f'nestra
mi al saba ciapu la paga
mi al v'nner siasu la s'nner
mi al giobia munto 'ns 'la lobia
mi al mércul vadu da Bertu
mi al màrtez giogu le carte
mi al lunez m'gratu le pulez
E 'n po' d'su-si e 'n po' d'lu-la,
la mia mama
fé da sinha e da dizné
la mia mamm vol ch'j fila e mi pos pà filé


English translation:

My mother wants me to go a-courting on a Monday
But me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.

My mother wants me to go a-courting on a Tuesday
But me on a Tuesday, I go playing cards
Me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.

My mother wants me to go a-courting on a Wednesday
But me on Wednesday, I'm off to Berto
Me on a Tuesday, I go playing cards
Me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.

My mother wants me to go a-courting on a Thursday
But me on a Thursday, I climb to the loggia
Me on Wednesday, I'm off to Berto
Me on a Tuesday, I go playing cards
Me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.

My mother wants me to go a-courting on a Friday
But me on a Friday, I sieve the cinder
Me on a Thursday, I climb to the loggia
Me on Wednesday, I'm off to Berto
Me on a Tuesday, I go playing cards
Me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.

My mother wants me to go a-courting on a Saturday
But me on a Saturday, I go get my pay
Me on a Friday, I sieve the cinder
Me on a Thursday, I climb to the loggia
Me on Wednesday, I'm off to Berto
Me on a Tuesday, I go playing cards
Me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.

My mother wants me to go a-courting on a Holiday
But me on a Holiday, I stand at the window
Me on a Saturday, I go get my pay
Me on a Friday, I sieve the cinder
Me on a Thursday, I climb to the loggia
Me on Wednesday, I'm off to Berto
Me on a Tuesday, I go playing cards
Me on a Monday, I scratch myself
A little bit of this, a little bit of that,
My mammy,
Do the lunch, do the dinner
My mammy wants me to go a-courting, but I really can't.