Many town or county offices have digitized at least some of their records and made them available online.
If you cannot go to a courthouse in person, search the internet. Many town or county offices have digitized at least some of their records and made them available online. Check the local historical societies and the state archives to see if older records have been transferred there. Another option is to consult digitized microfilm of courthouse records on FamilySearch.org or see if a local FamilySearch Center still has microfilm for the needed county court records. You may also consider a visit to the FamilySearch Library in Salt Lake City (see below).