i have a current patent with my name and my ex-business partners name on it. she says only one name can be on it as we aren't partners -i don't buy it

The question

my ex business partner and i hold a patent- since we are no longer a partnership, she says it needs to have one name only on the patent. this doesn't seem logical- we were 50/50 partners all the way thru this- why would i assign this to her? she is offering me our trademarked name- there's no business to sell, low sales- how is a trademarked deemed to have comparable value to a valid patent? The product was not a success, but there could be future potential value. how do you suggest i should i handle this?