Entering "Roberts Woolaston" into the search box at top R/H corner gives several threads which will be worth studying, although be aware that some will only relate to "Roberts" or "Woolaston" and not necessarily both.

Searching "William Roberts Woolaston" gives this thread, hopefully it contains useful information for your particular researches, William & Charlotte are mentioned in the second post down the thread.

http://www.forest-of-dean.net/fodmembers/index.php?mode=thread&id=33827#p33877

That said, searching both the forum and the PRs hasn't been very productive regarding your mention of William, Thomas & Lucy, so ??...

I'm struggling to find the PRs within this FoDFH site's database, but LDS aka FamilySearch has these records of children to Thomas & Lucy Roberts which I suspect you've already seen;

Name Wm Roberts
Gender Male
Christening Date 11 Aug 1806
Christening Place WOOLSTONE,GLOUCESTER,ENGLAND
Father's Name Thos. Roberts
Mother's Name Lucy

Name Ann Roberts
Gender Female
Christening Date 18 Dec 1808
Christening Place WOOLSTONE,GLOUCESTER,ENGLAND
Father's Name Thos. Roberts
Mother's Name Lucy

Name Thomas Roberts
Gender Male
Christening Date 20 Sep 1812
Christening Place WOOLSTONE,GLOUCESTER,ENGLAND
Father's Name Thomas Roberts
Mother's Name Lucy

Nearest fit for William I can find in the 1841 Census c/o FamilySearch seems to tie-in nicely with MPG's 1851 post above;

1841 Census; White Walls, Woollaston, Gloucestershire, England
Household Role Sex Age Birthplace
William Roberts M 40-44 Gloucestershire
Charlete Roberts F 25-29 Gloucestershire
Hannah Roberts F 11 Gloucestershire
Charlote Roberts F 9 Gloucestershire
George Roberts M 7 Gloucestershire
Elizabeth Roberts F 4 Gloucestershire
Mary Anne Roberts F 2 Gloucestershire
Emily Roberts F 3 Gloucestershire
Chas Harper M 28-32 Gloucestershire
James Davis M 20-24 Gloucestershire
Mary Evans F 25-29 Gloucestershire

https://familysearch.org/search/record/results?count=50&query=%2Bgivenname%3Awillia...

Hope this helps, J

(there are a couple of ROBERTS marriages at Woolaston, around the same time) - including a Hannah ROBERTS in 1831, but not too many ROBERTS at all in Woolaston

Look for family names:

1831 : Hannah
1832 : Charlotte
1834: George
1837 : Eliza
1839: Mary Anne
1841: Emma
1842: John
1844: Jacob
1847: Bertha

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William ROBERTS aged 52: c1796 burried at Woolaston 18 June 1848

1851 Census, Wollaston

ROBERTS

Charlotte - 40 (Widow) labourer's wife born Lydney *
Mary Ann - 10
John - 8
Jabez - 5
Bertha - 4

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Charlotte POWELL christened Lydney - 23 May 1813 : parents John & Mary

I am new to this forum and my reason for joining is my ancestors who came from Woolaston - the Roberts family. I don't know much about them at all as have only really started to look in to them properly, but have been researching my other side of the tree for 20 years. I have William Roberts and Charlotte Roberts nee Powell and their children on my tree, whom my Grandmother Edith Roberts is descended from (descended from William and Charlotte's son George Roberts b.1833 in Woolaston). I think William is the son of Thomas and Lucy but unsure.

Would love to hear from anyone with information or others researching this family/surname from the Woolaston area.

Thanks

Debra
(Swindon)