You're absolutely right, no woman should use pregnancy to trap a man to marry her, like you've mentioned, the marriage may lead to divorce sooner or later.

The same story about a lady who forced her child on your cousin also happened to someone very close to me too. Unfortunately, after the person she took the child to heard that another man took care of her and the baby, sent her away. This time, she didn't have anywhere to go as the first person rejected the child too. I heard she took the child to a third person but she eventually died later.

Pregnancy should be in marriage and two people's business not a forceful thing.