In this paper, we explore key aspects of the complex ethical and legal landscape surrounding consent in the context of incorporating genomic sequencing into existing newborn bloodspot screening programs. In particular, we consider the potential impact of genomic sequencing on the health rights of the child in relation to existing consent practices in newborn screening. We begin with an introduction to newborn screening programs and their population health goals. We then discuss public health ethics as a rationale underpinning newborn screening before turning to consent. We go on to describe seven current research projects on genomic sequencing in newborn screening and then introduce the 'right of the asymptomatic at-risk child to be found' as a useful concept to draw on when considering consent to newborn screening. We draw on this novel right to argue for the adoption of "appropriate consent" when it comes to certain uses of genomics in newborn screening. We contend that, for 'virtual panels' at least, appropriate consent proportionately balances the ongoing universality of newborn screening for important health conditions with an acknowledgement of the complex outcomes that bringing a complicated diagnostic technology into the screening domain will generate.