Partridge, in Dict. of Slang & Unconvential Engl., says: "Tuck. A hearty meal, esp. (orig. and mainly in schools) of delicacies: 1844, J T Hewlett. Also, in C. 19 more gen., tuck-out, 1823; occ. in C. 19, very often in C. 20, tuck-in, 1859, H., 1st ed. (Cf. tucker, q.v.) F&H and OED. ? ex tuck, a fold or pleat: tuck-out, the earliest form, suggests a meal that removes a tuck or crease from one's waistcoat or trousers-top; but prob. imm. ex the v., 2 and 3, qq.v.—2. Hence, food; esp. delicacies (e.g., pastry, jam); orig. and mainly school s.; 1857, Hughes 'The Slogger looks rather sodden, as if he ... ate too much tuck.'—3. Appetite; dial. and provincial s.; from the late 1830's. Halliwell."

And:

"Tucker. Rations, orig. of gold-diggers: Australian, hence from ca. 1860, New Zealand: 1858 ..."

The surname Tucker seems to come from the verb 'to tuck, to full' and meant something like 'fuller'. Tuck, OTOH, seems to come from Tukka a pet-name form of the ON name Thorketill.

Hope that helps, Bill.