I can find at least 7 children to Thomas/Ellin-Ellen in Garstang 1787-1802 on LancsOPC.
On last 2 Father a Labourer, abode Nateby.
Burial: 28 May 1807 St Helen, Garstang, Lancashire, England
Ellen Ward - Wife of Thos. Ward
Age: 46
Abode: Nateby
He looks to have remarried after Ellen died;
Marriage: 6 Jun 1815 St Helen, Garstang, Lancashire, England
Thomas Ward - (X), Widower, Garstang
Frances Longworth - (X), Spinster, Garstang
So unlikely to be the Thomas that died 1812.
Burial: 16 Jan 1830 St Helen, Garstang, Lancashire, England
Fanny Ward - Wife of Thomas Ward
Age: 64
Abode: Nateby
So this Thomas was still alive in 1830