Although a preferred answer has already been selected, which does give reasons not to delete the parents I agree with John about the lack of records .There seems a lack of evidence to support this whole profile.
We are supposed to care about accuracy and to cite sources (that's why I joined ) It is frequently quoted that genealogy without sources is a myth.
There are no extant parish records for this parish before 1714 yet we have exact dates of burials
There are transcripts of odd pages of the Bishops Transcripts for Wells edited by Dwelly
For this parish there are only a very few years that were able to be transcribed :1607 1608, 1615, 1617, 1638, 1679. (these transcriptions are also indexed on Freereg) There are seven Adams events amongst them two children of John and Martha buried in 1607 and the burial of widow Agnes in 1615/16
(NB to a comment on the profile,if there were any more known registers, they would be in the Archives not the church. It was in 1978 that all non current records over 100 years old and all records with an earliest entry 150 years old were required to be deposited in diocesan records offices The diocesan record office for Barton St David is the Somerset Archives)
The Thornbury registers where the two marriages took place, are in fairly poor condition but are viewable on Ancestry. I could find no trace of any Stebbings nor Armager. ( the last is a very unusual name, just 4 incidences in TNA with 3 from same family with Armiger given as alternative ) There are several 16th cent Adams in this register(it is a common name)
Move forward to the children apparently born to Richard in Trent . There are very good , legible PRs for Trent (which is now in Dorset) Again, I checked the index on Ancestry and went through the images. From 1560-69 there are several Addams baptisms with fathers called John, Nicholas and William but no Richard.
Moving to the secondary sources cited There is no mention on the profile of pages use or the facts each citation backs up or mention of the original evidence used by these authors for this man and his family
I checked those that I could check . All but the first two citations were available online (though really wondered why the Visitation of London was cited)
I couldn't find this Richard in any of the texts I looked at ( I used the indexes and search facilities). If f I missed something which is all too possible,then great, that page could be cited
That leaves two secondary sources which I couldn't check, presumably these supply the evidence because if not, what is the basis for this man's parentage ? (and I'd add wives and children)