How much compensation to give for use of name on house for 3

my husband and i used our money to buy house we are living in. my daughter used her name and her credit. she lived here for 3 1/2 years with her young daughter. we have been here a total of 4 1/2 years. my husband and i paid for everything. down payment, closing costs, repairs, remodeling, etc. while my daughter lived here we split the monthly mortgage payment, and utilities. every year we split the income tax return acquired from interest until 2007. she kept all of it eventhough she did not pay any of the interest. we refinanced after 2 years and each got $1000.00 in cash. we also each got $850.00 from overpayment of escrow which turned out to be a mistake on mortgage companies part and now my husband and i are responsible for paying that back as well. we are now going to have daughter sign over title to us and refinance as our credit is at a point we can do that. my daughter feels she should get reimbursed for half of mortgage she paid while she lived here and for use of her name. she claims paying half of mortgage is not cost of living but investment in house. i am embarrassed to tell anyone my own daughter would feel this way. originally we were going to wait for a better time to do this. however her paramour has threatened twice now to convince my daughter to just take home. therefore we have as $2300.00 prepayment penalty as well. this would dissolve in november. my husband and i feel we need to just pay that instead of waiting as we no longer trust our daughter in not doing what her paramour has threatened. the only reason we are reluctant to give her alot of money is we are fearful of what will happen to it as we have many doubts about her paramour. we have been approved for refinance with cash back of $3500.00. she is to get $1750.00 and we are getting $1750.00. our $1750.00 is going to fix the garage door and pave the driveway prior to closing so that it is appraised at appropriate amount. we are borrowing that money to do this until closing. my husband and i totally furnished house as well as bought her daughter's bedroom furniture, and paid $500.00 of her bedroom furniture. we also helped to support her daughter in way of shoes, coat, clothes, etc. what do you feel is a fair amount of money to give her? does paying half of cost of living, (ie, half of mortgage payment and utilities while residing in home)constitute investment and how much money is fair to give her? please keep in mind that we do not mind helping our child however at this time we have reservations due to her paramour. thank you for your time
denise mack