With regard to Elizabeth Baxter, there is no Elizabeth registered Barnstaple.
Nearest are 2 born 1836 one Tiverton & Dulverton the other Okehampton & one born 1839 Newton Abbot, I would say the Tiverton or the Okehampton would be your best shots as they are the nearest to Barnstaple.
I will send you the details if you want.
Assisted immigrants arriving at Moreton Bay-Brisbane, 1848-59
PRICE Thomas 43 and family Fortitude 1849 F2354
PRICE Elizabeth 45 and family Fortitude 1849 F2354
PRICE Elizabeth 10 and family Fortitude 1849 F2354
PRICE Thomas 8 and family Fortitude 1849 F2354
Qld. Marriage 1862/B0330 Cooksley William John Farmer - Price Elizabeth Margaret
The Courier (Brisbane, Qld. : 1861-1864) - Friday 23 May 1862 p.2
On the 22nd instant, by the Rev. B. G. Wilson, W. J. F. Cooksley, son of Mr. William Cooksley, builder, Wiveliscombe, Somersetshire, to Elizabeth Margaret, only daughter of Mr. Thomas Price, builder, Fortitude Valley, late of Ilfracombe, Devonshire.
Death 1877/C0784 Cooksley Elizabeth Margaret - Thomas Price - Elizabeth Price Baxter
The Brisbane Courier (Qld. : 1864-1933) - Thursday 8 March 1877 p.2
COOKSLEY.-On the 8th March, at her residence Roseholm, Hamilton, Breakfast Creek, Elizabeth Margaret, the beloved wife of William J. F. Cooksley, aged 38 years.
Death 1871/B06619 Price Thomas - Edward Price - Elizabeth Thorne
The Brisbane Courier (Qld. : 1864-1933) - Saturday 18 March 1871 p.4
PRICE.-On the 30th of January, suddenly, at his residence, Wickham-street, Fortitude Valley, Mr. Thomas Price, late of Ilfracombe, Devonshire, England, father of Mrs. W. J. F. Cooksley, of this city, in the 66th year of his age. [Friends will please accept this intimation.]
Qld. Death 1883/B16026 Price Elizabeth - Baxter - ** born Scotland aged 84 years
The Brisbane Courier (Qld. : 1864-1933) - Friday 2 November 1883 p.1
PRICE.-On the 29th October, at the residence of her son, Gibbs-street, Valley, Elizabeth, relict of the late Thomas Price, aged 84 years.
William John Farmer Cooksley
Spouse: Catherine Alexandra Cairns
Marriage Date: 9 Aug 1877
Marriage Place: Queensland
Registration Place: Queensland
Registration Year: 1877
Registration number: 000736
Page Number: 2993