Flo Rida vs. Baby Mama -- He Won't Pay For Our Kid ... But He'll Fund an Abortion

Flo Rida's alleged baby mama says the rapper hasn't given her a dime for prenatal care, but did offer her money for an abortion ... according to court docs.

Natasha Georgette Williams is fighting Flo in court to get financial assistance -- he won't acknowledge he's the daddy -- but in a new court filing she claims he demanded she have an abortion ... which she refused.

Flo says he wants DNA proof he's the father, but Williams is refusing in utero testing -- amniocentesis -- because doctors told her it was invasive and risky for the baby's health.