Burgoyne is a third generation player at Port Adelaide with his grandfather Peter Snr playing at the club in 1977. His father Peter Jnr was a premiership player for Port Adelaide in both the SANFL in 1998 and in the AFL in 2004. Burgoyne's uncle Shaun is a four-time AFL premiership player winning with Port Adelaide, alongside Peter Jnr, in 2004 and with Hawthorn in 2013, 2014 and 2015.[citation needed]