From Private User
Although there is some advise given regarding the parentage of Robert Lockwood that can be well appreciated, there appears to be sources regarding Edmond Cresswell Lockwood and Alice (Cowper) Lockwood for whom there are particular protections provided by the Puritan Great Migration Project. The general reasoning seems to be that the ancestry of Edmond Cresswell Lockwood is frequently found to be questionable and/or incorrect.
However, it seems to believed that Edmond Cresswell Lockwood was born in Combs, Mid Suffolk District, Suffold, England, on or about 2 September, 1574 and died in Combs, Mid Suffolk District, England on or about 3 March,1635 according to Find A Grave sources. However, Wiki lists his death on 23 November, 1638. A bit confusing?
Regarding his spouse, given either as Alice or Ales Cowper, born about 1569, also in Combs, Mid Suffolk District, England, there is certainty given that both were married on 3 September, 1592. She died in Combs, Mid Suffolk District, England, on 11 September, 1658.
I'm not certain that the listing of Robert Lockwood's parents as "unknown" is truly based on an "absence of factual evidence" since there are existing records, although not completely definitive in terms of secured dates, that seem to indicate who his parents were.
Therefore, I would leave this to your best judgement and if needed, additional information can be forthcoming that is based on multiple sources already identified and contributed to my family tree account with LDS Family Search.
Your thoughts are welcomed!