Green’s Dictionary of Slang

toby n.6

[proper name Tobias, + ref. to Toby, Mr Punch’s dog]
(Aus.)

1. a simple, foolish man, but one who is kind and amenable and thus popular.

[Aus]Baker Popular Dict. Aus. Sl.

2. an expert.

[Aus] in A. Marshall These Are My People (1957) 142: I’m not much chop on pies, but I’m a toby on puddin’s.

In phrases

have a toby on (v.)

to feel kindly or friendly towards.

[UK]Partridge DSUE (8th edn) 1242/1: Aus. since ca. 1925.