The Oxford English dictionary Lists:
bodger, n.1
Etymology: < bodge v. + -er suffix1.
One who ‘bodges’; a botcher.In modern dialects.
1552 R. Huloet Abcedarium Anglico Latinum Bodger, botcher, mender, or patcher of olde garmentes.
1567 Harding in Jewell Def. Apol. (1611) 500 Be they..Tinkers or Tapsters, coblers or Bodgers.
?bodger, n.2
Etymology: ? = badger n.1
Obs. or dial.
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? A travelling dealer, a pedlar.
1736 W. Ellis New Exper. Husbandry 49 The Sheep-Bodgers, or Dealers.
1810 G. Crabbe Borough v. 74 The warmest Burgess wears a Bodger's Coat.
bodger, n.3
In full chair bodger. A local name in Buckinghamshire for a chair-leg turner. Hence (chair-)bodgering , the action or process of chair-leg turning.
1911 G. Eland Chilterns & Vale vi. 136 The men who thus work in the woods are called ‘chair-bodgers’.
1911 G. Eland Chilterns & Vale vi. 137 The purchaser then employs the ‘bodger’ to turn it [sc. a ‘fall’ of beech] into chair-legs.
1921 K. S. Woods Rural Industries round Oxf. ii. i. 102 Most village turners or ‘chair bodgers’ confine themselves to the making of legs which they sell to the factories, mainly at Wycombe.
1939 D. Hartley Made in Eng. i. 23 The shed for bodgering jobs may be left standing the whole year.
The bodge bit is
† bodge, n.1
Etymology: < bodge v.: compare botch n.2
A clumsy patch; a botched piece of work.
1589 Pappe with Hatchet (1844) 20 You shall blush at your owne bodges.
1598 J. Florio Worlde of Wordes Sbozzi, bodges, or bunger-like workes.
1877 E. Peacock Gloss. Words Manley & Corringham, Lincs. Bodge, a botch, a clumsy patch.
However you choose to fix it. All the best with the repair!