Recent studies suggest that people with non-absolute pitch as commonly understood have a "permanent memory of absolute pitch." In the present study, kindergarten children learn a new tune in three different keys (pitch conditions) with four semitones apart. After nearly one month of practice, children individually sang the tune without accompaniment, and we measured their starting pitch. On another occasion, we measured their pitch when uttering their own names. An analysis of variance (ANOVA) revealed significant main effects of the pitch conditions and gender. Their absolute starting pitches when singing were near the absolute pitch of uttering their names, and the former and latter pitches were moderately correlated. This result suggests that young children memorized the new tune's pitch but were influenced by their speech pitch, and so they reproduced the tune beginning near their speech pitch.