OK - an unlikely possibility, but this "could" be his record if he remarried to a Mathilda:
"United States Census, 1850," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:MD47-QDQ : 22 December 2020), Vincent Dawson, Baltimore, Baltimore, Maryland, United States; citing family , NARA microfilm publication (Washington, D.C.: National Archives and Records Administration, n.d.).
The record shows wife Mathilda H. Dawson, born 1790 in Maryland, with sons Thomas, born 1829 in Maryland and William, born 1832 in Maryland.
And there's this one:
"United States Census, 1860", database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M69G-HTD : 18 February 2021), Vincent Dawson, 1860.
No wife mentioned, but living in the household with William Dawson, born 1831 in Maryland, Emma Dawson, born 1836 in Maryland (appears to be William's wife?) and Georgeanna Dawson, born 1860 in Maryland, along with servant Elizabeth Bond, born 1845 in Maryland.
No references to Lewis Haile Dawson, although it's conceivable by 1850, he had moved from the house.
There is an 1840 Census record that might apply:
"United States Census, 1840," database with images, FamilySearch (https://www.familysearch.org/ark:/61903/1:1:XHR2-77L : 8 December 2020), Vincent Dawson, Baltimore, Maryland, United States; citing p. 60, NARA microfilm publication , (Washington D.C.: National Archives and Records Administration, n.d.), roll ; FHL microfilm .
The record shows:
White Males: 1 - age 5-10, 2 - age 10-15, 1 - age 40-50, 1 - age 50-60
White Females: 1 - age 10-15, 1 - age 40-50, 1 - age 50-60
Not sure if that's helpful, but it's something to consider.