Sentence:  ... if it had pleased God to make you ugly, like me, so as the men wouldn't ha' <WSD>run after</WSD> you, we might have kept to our own family, and had nothing to do with folks as have got uneasy blood in their veins. 
Meaning of the word marked with <WSD> tags:  To make a determined effort to win someone's affections or to have a sexual relationship with them.