Film Source: 1055894 / Indexing Batch Number: C93224-1 / Link to Record
There is a chance that this record is incorrect, but my best guess is that it is correct. On her marriage record it states that her father was "Jacob Weber" while this birth record states "Johann Jacob Weber." There are no birth records in the timeframe for Heumaden where a father's name is simply "Jacob." There is a Catharina Weber born in 1760 in Münchingen whose father is Jacob Weber. It's conceivable that that is the correct person, but more likely that her father's name was truncated in the marriage record.