Dennis
I think you mean the 1841 Pigot's directory. this shows Thomas Ash , zinc worker at Hen & chickens Yard, High St. This was presumably the yard behind where the Hen & Chickens had been before it moved to New St, somewhere I believe around where M & S is.
I don't know if they have any connection with the following:
1823 Ash J. and H. copper smiths, braziers, and tin and iron plate workers, 86, Dale-end
1829 Ash Henry, coppersmith, brazier, tin and iron plate worker, 86, Dale-end
1833 Ash Henry, coppersmith, brazier, tin and iron plate worker, 1, Dale-end
1839 Ash and Morris, copper smiths, braziers, tin plate workers, and fender
makers, 1, Dale end
after 1841:
1845(PO directory) Ash Thomas, zinc manufacturer, 3 Peck Lane
1845 (PO directory) Ash Thomas, zinc & galvanized iron worker 119½ New St
1849 Ash Thomas & Son, galvanized iron & zinc workers, manufacturers
of sash bars & bell [tubing, &c. & inventors of the patent stair rods, 119 New street, 3 Peck lane, & Ashted row.
The mention of Ashted Row hints to me that there may be a family connection with this person, though I wouldn't think it was the same Thomas:
1823 Ash Thomas, druggist, grocer, and oil and colour man, 38, Stafford-street, and 56, Lichfield-street
1829 Ash Thomas, grocer, tea dealer, druggist, and oil & colourman, 65, Coleshill-st
1833 Ash Thomas,grocer, tea dealer, druggist, and oil and colourman, Prospect-row
1839-1841 Ash Thomas, chymist and druggist, 6 Prospect Row
1845 (PO directory) Ash Thomas , chemist & galvanic ring manufacturer & post office receiving house . 167 Ashted Row.
There is also in Whites 1850 directory:
Ash Frederick, iron and steel merchant; house, Selby Oak cottage, Northfield/ who might be connected.
If you want me to go after 1849 , then let me know.