Last name is speculative. Possible father is Thomas Burgh who married Mary Unknown.
Note: A Woodie Burgh was located in Surry Co, NC at the same time that Burrell Pace (son of John Pace and Sarah Burgh) were in the same county. A Woodie Burgh is named along with Sarah in their fathers (Thomas Burgh) Will in 1752.
I have also seen her listed as Sarah POPE.
John and Sarah Pace purportedly had 11 children...many of whose names occur in the Burgh family. Too much evidence to be ignored that Sarah Pace more than likely was indeed the d/o Thomas Burgh."

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Sarah was listed in the 1790 Census: Salisbury Dist, Surry Co, NC Census: The household contained 2 Free White females
(Sarah and her daughter Sarah Pace probably.) (Series: M637 Roll: 7 Page: 516)

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From the Pace Society Bulletin #20 June 1972 page 9:
The census of 1790 shows a Sarah Pace as head of a household, with one female living with her, probably a daughter. If her estimated date of birh was 1741, (assuming that she was 16 when she married John about 1757), she would have been 49 years old in 1790. No land is listed in that census. But the tax rolls of 1791 show Sarah as paying taxes on 152 acres, the exact amount of Richmond Pace's grant (surveyed June 30, 1785 on behalf of Richmond Pace, supposedly deceased).
While we cannot find a record of Sarah on the tax rolls of 1792, 1793, 1794, and 1795, those for 1796 and 1797 show her as paying taxes on 150 acres. She does not appear thereafter.
If we put all these facts together, it would seem that Richmond was killed , or that he had left for now lands to the west and never returned to claim his land. And that the completion of his grant was memerly a matter of following through with the delayed survey, permitting the actual granting of the land to the one in whose name it was entered.
Sarah, whose home this 152 acres had been to begin with, apparently continued to live there with sons (Reuben and Edmund) on both sides to look out for her. Someone had to pay the taxes to prevent seizure by the county. She evidently did so until her death in 1798. By that time it may have been felt that someting should be done about this land, and pehaps after 19 years it was considered definite that Richmond was dead. The appointment of an administrator of his "estate" was made - but such action was only half - heartedly pursued.
Meanwhile Edmund seems to have struggled to pay the taxes, and in the next few years sold out his own 200 acres, possibly in order to take over Richmond's land. The tax rolls show that, in 1799, Edmund paid taxes on 150 acres.

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From Pace List on Mar 2, 2009 by Jonathan A. Pace
Is there any evidence that John Pace married Sarah Burge, daughter of Thomas Burge?
"I know of no primary or secondary evidence for the BURGE surname for Sarah. However, there are two very interesting facts that Bruce somehow overlooked or failed to mention the MIGHT support his theory.
In the will of the BURGE father the list of children (presumably in order of birth) the last two listed are Sarah and "Woode". Imagine my surprise at the NC States Archives in Raleigh NC to find that during the time that John and Sarah PACE were residing in Surry County there was also a "Woode Burge". I was so taken aback that I carried the original book up to the desk and asked two librarians to confrim what I was seeing.
Then on a second visit to the same archive while reading the P's & Q's for Rutherford County NC I learned that when their son Burrell PACE returned to NC from SC who should be wating there in Rutherford but Uncle(?) "Woode Burge"."
Jonathan A. Pace
Marietta, GA