1) As a verb this could mean ‘to provide board’, a sense recorded in the OED from the fifteenth century.
An early example shows how the two words inter-related: 1577 for the board and tabling of William Gilby … 12d weekly, Beverley. A workman might have his board provided as part of his contract or pay for it himself: 1640 William Tadman the shepherd to have Ł5 per annum … and he to table himselfe, Elmswell
1672 went to worke at Almondbury by dayes and out of his hand labor tabled his child at Honley. More usually it meant to take one’s meals at a certain place or with a certain person or family: 1633 we tabled all the time of our aboad in that country [Devonshire] in the house of Mr Roger Skinner. Examples are found in parish registers: 1656-7 Anthony Smith, sep: the 19 Januarie who was tabled att Philip Scatcherdes, att Arthington, Adel
1664 Thomas Briggs who were tabled with John Cozin, Horbury.
2) A mason’s word for a horizontal piece of stone.