You can search by film or fiche number on FamilySearch. From the homepage, click on the "Search" pull down menu and chose "Records". On the next page, you can choose "Film Number" just above the Search button.
Here's the link to the record, you'll need to be signed into FamilySearch: https://www.familysearch.org/search/record/results?count=20&...
A problem: in order to see the actual image of the record, you have to be a member of the church or visit one of the FamilySearch libraries. Might be a copyright issue.
BTW, being born in one county and christened in another would be unusual. Wouldn't trust that transcript.
Oakland FamilySearch library