how much should it cost to remove a name from a deed

Your question cannot be answered in this forum because you have not provided all of the information that may be required to address your issue.  For example, what are the circumstances surrounding the removal of the name from the deed?  Is this part of a court order, an agreement, refinancing, sale, etc.,  In the absence of this information, there is no way to know if this is going to be a simple matter or a complex process that will require judicial intervention to carry out the objective.  Most lawyers charge by the hour and will base services on the amount of time it will take to carry out a particular request.  Best of luck~