Green’s Dictionary of Slang

rich, having money.

1822		Tom And Jerry; Musical Extravaganza I iv: You are, I dare say, well lined with blunt.
1931–4		D. Clemmer Prison Community (1940) 333/2: lined; well lined, adj. Condition of being flush with money.
1951		M. Spillane Long Wait (1954) 11: The Hathaway House was the best hotel in town and it didn’t take to anybody who wasn’t lined with dough.
1996		J. Cameron It Was An Accident 118: Never want you running out of business mate only I aren’t lined you reckon.
2002		J. Cameron Hell on Hoe Street 136: Only they reckon they come from England and they got to be lined.