As Wharton's jelly-derived mesenchymal stem cells (WJ-MSCs) are easily accessible, easy to isolate, and ethically acceptable, they represent a promising source of MSCs for use in regenerative medicine. Considering decisions on WJ-MSCs collection requires extensive knowledge of the factors that impact their yield. This study's aim was to evaluate the influence of parameters related to mothers and newborns on the WJ-MSCs yield. The WJ-MSCs were isolated and expanded after being isolated from 79 umbilical cord (UC) samples. Population doubling time and cell proliferation were assessed. By flow cytometry analysis, WJ-MSCs were identified by positivity of CD105, CD90, and CD73 and negativity of CD45 and CD34. There was a statistically significant negative correlation between UC width and P1 doubling time. Maternal age and WJ-MSC yield were shown to be negatively correlated. Birth weight and gestational age showed a significant positive correlation between WJ-MSCs yield and neonatal variables. No significant correlations were detected between the WJ-MSCs and the mother parity, nor the neonatal sex, fetal presentation, or head circumference. The WJ-MSCs yield increases with younger maternal age, higher gestational age, and increased neonatal birth weight. Hence, consideration should be given to these factors when selecting the ideal donors.