Oops, I thought when you said for children of Joseph and Harriet "None listed on 1841 census" it meant you had them in that year. Maybe you did but didn't look at the image -- that's where it gives his occupation. He's in St Margaret With Bishops Fee, Leicestershire, with Harriet, in 1841 -- aged 33 (1808), name spelled correctly at Anc'y.
I'm glad the bits and pieces I posted matched up with what Mike was digging up, too.
It was the complete absence of a death for Joseph in England (searching the index by every surname starting with Scul, even) that made me look abroad; tried NSW Australia on a whim first because it's easy, then just searched for the name at FS. Fortunately it was not the world's most common name! although it did get spelled a few ways in the US.
A bit more -- the US 1880 census is free at Anc'y and shows Ida Sculthorpe, a worker in a woolen mill, parents born in England, in Philadelphia. Here she is:
https://familysearch.org/pal:/MM9.1.1/MWJG-LH9I wonder whether this is her in 1900 -- the only Ida in Philadelphia born 1857-59 with parents born in England:
https://familysearch.org/pal:/MM9.1.1/M377-LPB... except that one was supposedly married in 1874 and had a 26-yr-old son by 1900 ...
Brother John T had died, and that leaves Henry ... but I'm not seeing any other mention of him at FS. Aha, no, he is Harry in 1920, born c1865 in Pennsylvania, with wife Clare and parents born in England:
https://familysearch.org/pal:/MM9.1.1/M6YG-3HVbut he's 55 at that point so any kids would have flown. ... Here's 1910, with a niece:
https://familysearch.org/pal:/MM9.1.1/MG7W-45XAbigal Sculthorpe died in 1876 in Philadelphia (also of TB) and was recorded as widowed (and born in Germany):
https://familysearch.org/pal:/MM9.1.1/J69D-HR7And I think Joseph's death in 1871 may have been misrecorded as James Sculthorp:
https://familysearch.org/pal:/MM9.1.1/JKQ1-GZJ-- occupation Trimmer, born England, died of phthisis, resident in Germantown which I saw on one of the records I linked to earlier, buried in Franklin cemetery as was Abigal (images are viewable if you register at FS and sign in).
(Tuberculosis did "run in" families, as it was infectious -- in my gr-grfather's family, his brother, first wife, eldest daughter and niece, that I have investigated so far, and I suspect others, died of phthisis -- and when I learned that, it proved to be the only true thing he ever said about his family in England, once he came to Canada: that they were "wiped out by a plague".)
They were fun to track down on a cold and lazy new year's eve day here, and you're welcome! Nearly 3 hours to go til midnight here in central Canada now, so it's nearly time to order up some pizza. Happy new year!