Possible thread drift:

The "my mother and your mother fighting" verse can also be found in versions of this handclap children's rhyme:

my mother your motha
live down da street
18, 19 marble street
and evry nite
dey had a fite
and dis is wat dey told me

girls are sexy drink lots of pepsi
boys are rotten chew on sum cotten
ishy wishy lollypop
ishy wishy woo
ishy wishy lollypop
da guyz luv YOU

Source: http://octopuses.chaoticinsanity.com/000518.php
{posted by Duilz at October 28, 2004; used with permission}

I suppose the lines about the mothers living on the same streeet and fighting is a floating verse and has no [other] connection with the Ackabaca rhyme.