Displaying a Views block with a CiviCRM-enabled webform
After much trial and error, we discovered that the webform and Views block both populate correctly with a supplied link of /family-info?cid=[id].  By removing the 1 between cid and =, the View contextual filter works properly and the webform still auto-fills.  I don't know the implications if one were to try to have multiple contact id's, but for our purposes of only one contact id, this resolves the issue.