There also seems to be another Hedges family of St. Albans that have children called James and Alfred as well.
Thomas Hedges and Sarah, had issue:
1. Elizi. Hedges, chr. 22 Apr. 1827, St. Peter, St. Albans
2. Henry Hedges, chr. 28 Sep. 1828, St. Peter, St. Albans
3. Emma Hedges, chr. 28 Nov. 1830, St. Peter, St. Albans
4. James Hedges, chr. 14 Apr. 1833, St. Peter, St. Albans
5. Joseph Hedges, chr. 4 Oct. 1835, St. Peter, St. Albans
6. Alfred Hedges, chr. 2 Oct. 1842, St. Peter, St. Albans
7. Ellen Hedges, chr. 2 Oct. 1842, St. Peter, St. Albans
Now they could be related to the other Hedges of St. Albans... we need to find them on the census and see if they are travellers.