Śrī Matre Namaḥ!
Per Paraśurāma Kalpa Sūtra, Lalitā's aṅga, upāṅga and pratyaṅga devatās are:
Per Lalitopakhyana and Paraśurāma kalpa Sūtra Bālā does not have aṅga, upāṅga and pratyaṅga devatās. She herself is aṅga devatā of Lalitā.
Rāja Śyāmā and Mahā Vārāhi
Rāja Śyāmā and Mahā Vārāhī are given special prominence in Śrī Vidyā. Both of them have they own aṅga, upāṅga and pratyaṅga devatās. If we look at Lalitā as Ardhanārīśvara, these two devis can be considered to be Her two parts - Mahā Vārāhī is the right part and Rāja Śyāmā - Her left part. Mahā Vārāhi is the General of Devi's Armed Forces and Rāja Śyāmā is Lalitā's Prime Minister.
Tantrarāja Tantra describes:
- Vārāhī as the father (forming the 4 upward facing triangles of Śrī Cakra) and
- Kurukulla (Śyāmā) as the mother (forming the 5 downward facing triangles of Śrī Cakra)
Sampatkarī and Aśvārūḍha
Aśvārūḍha is a warrior goddess who heads Lalita's calvary (part of army fighting on horseback)
Sampatkarī is a warrior goddess who heads Lalita's elephant corps (part of the army fighting on elephants)
Both of these goddesses are under the control of Mahā Vārāhī who heads all Lalitā's armed forces.
Chapter 16th (v. 6-9) of Lalitopakhyana describes the appearance of Goddess Sampatkarī as follows (source: wisdomlib):
A deity named Sampatkarī rose out of the goad, a missile of Lalitā Parameśānī. She moved on along with the other Śaktis.
Sampadīśvarī (i.e. deity Sampatkarī) was reddish in colour like the midday sun. She was served by many crores of rows of elephants, horses and chariots.
She mounted an elephant named Kaṇakolāhala. It was in a state of excitement, huge in size like a mountain. It appeared to relish a fierce battle.
The appearance of Aśvārūḍha is not described in Lalitopakhyana.
Did Guruji have tarpanas for Sampathkari and Ashwarooda?
No he did not give those.
What about the two hidden arms behind her?
I'm not sure who you are referring to here.
Any tidbit of info anyone has heard from Guruji or Aiya or scriptural references will be most welcome.
I would recommend you read Lalitopakhyanam, which talks about heroic deeds of the deities you mentioned.