The Ancestry.com note accompanying the marriage record for her son Johann David to Christina Schwerz does not note that her maiden name ws Weber, but the marriage record itself clearly indicates this, as do the family group sheets.
The family group record for Carl and Friederike has her birthdate as July 15, 1775. The group record for Gottfried Weber and Anna Maria Schwarz (Friederike'sparents) has it as Sept. 15, 1775.