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Buying a mortgaged house
Go on a website that has real estate listings.  Find similar homes in the same neighborhood and list out the prices.  Once you have prices, pick out two with different prices and call the realtor of the more expensive listing.  Tell that realtor about the other listing and ask why their listing is more expensive.  Compare their answer to the home that you are considering buying.   For example, they may say that their house has a newly remodeled kitchen.  Does the house you are considering have a newly remodeled kitchen?  If so, then use the higher priced listing and throw out the cheaper one.  If not, use the cheap listing and throw out the expensive one.   Or they might say that the expensive house is in a better location than the cheaper house.  Further away from traffic.  Easier to get to the highway or public transportation.  If so, ask how the location compares to the house you are actually considering.  The realtor will tell you if the listings are comparable.   When I talk about "similar homes," I mean homes that are similar in square footage, number of bedrooms, and number of bathrooms.  Generally real estate sites will allow you to search by all of these as well as location.   After all this, the potential seller may still turn you down.  If he really wanted to sell, he'd have suggested a price.  He may just be seeing if you're willing to overpay.  If so, he could turn down an otherwise reasonable offer.  How much he is willing to take is up to him.   Note that this would all be easier if you just bought a house the normal way.  Then the realtors would do the comparables portion of the work.  You might be able to find a realtor or appraiser who would do the work for a set fee.  Perhaps your bank would help you with that, as they have to appraise the property to offer a mortgage.   You asked if you can buy out a mortgaged house with a mortgage.  Yes, you can.  That's a pretty normal occurrence.  Normally the realtors would make all the necessary arrangements.  I'm guessing that a title transfer company could handle that.