Hello John,
By default there are already fallback for the fonts. Take a look at the file /components/com_easyblog/themes/default/css/styles.css
#eblog-wrapper #ezblog-head h1{font-size:34px;padding:0;margin:0;line-height:1.2;border:0 !important}
#eblog-wrapper.eblog-cabin #ezblog-head h1{font-family:'Cabin Sketch', arial, sans-serif}
#eblog-wrapper.eblog-droid #ezblog-head h1{font-family:'Droid Sans', 'Segoe UI', Tahoma, sans-serif}
#eblog-wrapper.eblog-pacifico #ezblog-head h1{font-family:'Pacifico', Georgia, serif}
#eblog-wrapper.eblog-inconsolata #ezblog-head h1{font-family:'Inconsolata', Consolas, monospace}
#eblog-wrapper.eblog-kristi #ezblog-head h1{font-family:'Kristi', arial,sans-serif}
#eblog-wrapper.eblog-molengo #ezblog-head h1{font-family:'Molengo',arial,sans-serif}
#eblog-wrapper.eblog-orbitron #ezblog-head h1{font-family:'Orbitron',arial,sans-serif}