The objective of the study was to compare the maternal and neonatal humoral immune responses among different groups of women, namely those vaccinated by the BNT162b2 vaccine, not vaccinated, and COVID-19-recovered parturient women at the time of delivery. This is a prospective cohort study of pregnant women, divided into four groups: Group A “Recovered”—recovered and not vaccinated. Group B “Second Vaccination”—first and second doses only. Group C “Third Vaccination”—third dose. Group D “No Third Vaccination”—women eligible for the third dose of the vaccine but did not receive it. Maternal and umbilical cord blood were sampled and tested for SARS-CoV-2 IgG antibodies on admittance to labor and immediately postpartum, respectively. Maternal serum SARS-CoV-2 IgG levels were significantly higher among Group C compared to Group B (741.6 (514.5–1069) vs. 333.5 (327–340.2), respectively). Both groups had higher antibody levels compared to Groups A and D (113.5 (61.62–209.1) and 57.99 (32.93–102.1), respectively). Similarly, umbilical cord blood SARS-CoV-2 IgG levels were also highest among Group C compared to the other three groups (1269 (953.4–1690) vs. Group B, 322.6 (305.6–340.5), Group A, 109 (49.01–242.6), and Group D, 103.9 (48.59–222), respectively). In conclusion, pregnant women who were fully vaccinated with three dosages before delivery generated the highest levels of maternal and neonatal SARS-CoV-2 IgG antibodies.